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Finding the Fourth Proportional to 565,517.28, 780,414.68 and 310,870.02

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Solution

The fourth proportional to 565,517.28, 780,414.68 and 310,870.02 is: 429,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,517.28 : 780,414.68 = 310,870.02 : x
  2. Step 2: Convert to fraction form
    565,517.28/780,414.68 = 310,870.02/x
  3. Step 3: Cross multiply
    565,517.28x = 780,414.68 × 310,870.02
  4. Step 4: Simplify right side
    565,517.28x = 242,607,527,179.89
  5. Step 5: Solve for x
    x = 242,607,527,179.89/565,517.28
  6. Step 6: Final answer
    x = 429,001.09

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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.