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Finding the Fourth Proportional to 622,847.40, 932,715.90 and 411,340.20

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Solution

The fourth proportional to 622,847.40, 932,715.90 and 411,340.20 is: 615,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,847.40 : 932,715.90 = 411,340.20 : x
  2. Step 2: Convert to fraction form
    622,847.40/932,715.90 = 411,340.20/x
  3. Step 3: Cross multiply
    622,847.40x = 932,715.90 × 411,340.20
  4. Step 4: Simplify right side
    622,847.40x = 383,663,544,849.18
  5. Step 5: Solve for x
    x = 383,663,544,849.18/622,847.40
  6. Step 6: Final answer
    x = 615,983.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.