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Finding the Fourth Proportional to 531,097.84, 732,905.76 and 289,382.41

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Solution

The fourth proportional to 531,097.84, 732,905.76 and 289,382.41 is: 399,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,097.84 : 732,905.76 = 289,382.41 : x
  2. Step 2: Convert to fraction form
    531,097.84/732,905.76 = 289,382.41/x
  3. Step 3: Cross multiply
    531,097.84x = 732,905.76 × 289,382.41
  4. Step 4: Simplify right side
    531,097.84x = 212,090,035,131.68
  5. Step 5: Solve for x
    x = 212,090,035,131.68/531,097.84
  6. Step 6: Final answer
    x = 399,342.68

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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.