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Finding the Fourth Proportional to 531,097.34, 732,905.06 and 289,381.91

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Solution

The fourth proportional to 531,097.34, 732,905.06 and 289,381.91 is: 399,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,097.34 : 732,905.06 = 289,381.91 : x
  2. Step 2: Convert to fraction form
    531,097.34/732,905.06 = 289,381.91/x
  3. Step 3: Cross multiply
    531,097.34x = 732,905.06 × 289,381.91
  4. Step 4: Simplify right side
    531,097.34x = 212,089,461,000.03
  5. Step 5: Solve for x
    x = 212,089,461,000.03/531,097.34
  6. Step 6: Final answer
    x = 399,341.98

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.