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Finding the Fourth Proportional to 565,610.31, 780,545.16 and 310,977.90

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Solution

The fourth proportional to 565,610.31, 780,545.16 and 310,977.90 is: 429,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,610.31 : 780,545.16 = 310,977.90 : x
  2. Step 2: Convert to fraction form
    565,610.31/780,545.16 = 310,977.90/x
  3. Step 3: Cross multiply
    565,610.31x = 780,545.16 × 310,977.90
  4. Step 4: Simplify right side
    565,610.31x = 242,732,294,711.96
  5. Step 5: Solve for x
    x = 242,732,294,711.96/565,610.31
  6. Step 6: Final answer
    x = 429,151.11

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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.