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Finding the Fourth Proportional to 531,019.14, 732,802.59 and 289,301.64

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Solution

The fourth proportional to 531,019.14, 732,802.59 and 289,301.64 is: 399,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,019.14 : 732,802.59 = 289,301.64 : x
  2. Step 2: Convert to fraction form
    531,019.14/732,802.59 = 289,301.64/x
  3. Step 3: Cross multiply
    531,019.14x = 732,802.59 × 289,301.64
  4. Step 4: Simplify right side
    531,019.14x = 212,000,991,083.25
  5. Step 5: Solve for x
    x = 212,000,991,083.25/531,019.14
  6. Step 6: Final answer
    x = 399,234.18

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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.