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Finding the Fourth Proportional to 531,123.47, 732,940.92 and 289,408.13

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Solution

The fourth proportional to 531,123.47, 732,940.92 and 289,408.13 is: 399,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,123.47 : 732,940.92 = 289,408.13 : x
  2. Step 2: Convert to fraction form
    531,123.47/732,940.92 = 289,408.13/x
  3. Step 3: Cross multiply
    531,123.47x = 732,940.92 × 289,408.13
  4. Step 4: Simplify right side
    531,123.47x = 212,119,061,057.68
  5. Step 5: Solve for x
    x = 212,119,061,057.68/531,123.47
  6. Step 6: Final answer
    x = 399,378.06

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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.