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Finding the Fourth Proportional to 531,116.80, 732,931.92 and 289,401.40

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Solution

The fourth proportional to 531,116.80, 732,931.92 and 289,401.40 is: 399,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,116.80 : 732,931.92 = 289,401.40 : x
  2. Step 2: Convert to fraction form
    531,116.80/732,931.92 = 289,401.40/x
  3. Step 3: Cross multiply
    531,116.80x = 732,931.92 × 289,401.40
  4. Step 4: Simplify right side
    531,116.80x = 212,111,523,752.69
  5. Step 5: Solve for x
    x = 212,111,523,752.69/531,116.80
  6. Step 6: Final answer
    x = 399,368.88

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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.