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Finding the Fourth Proportional to 565,989.60, 781,061.28 and 311,335.20

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Solution

The fourth proportional to 565,989.60, 781,061.28 and 311,335.20 is: 429,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,989.60 : 781,061.28 = 311,335.20 : x
  2. Step 2: Convert to fraction form
    565,989.60/781,061.28 = 311,335.20/x
  3. Step 3: Cross multiply
    565,989.60x = 781,061.28 × 311,335.20
  4. Step 4: Simplify right side
    565,989.60x = 243,171,869,821.06
  5. Step 5: Solve for x
    x = 243,171,869,821.06/565,989.60
  6. Step 6: Final answer
    x = 429,640.17

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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.