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Finding the Fourth Proportional to 411,384, 617,124.96 and 145,089.28

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Solution

The fourth proportional to 411,384, 617,124.96 and 145,089.28 is: 217,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,384 : 617,124.96 = 145,089.28 : x
  2. Step 2: Convert to fraction form
    411,384/617,124.96 = 145,089.28/x
  3. Step 3: Cross multiply
    411,384x = 617,124.96 × 145,089.28
  4. Step 4: Simplify right side
    411,384x = 89,538,216,116.43
  5. Step 5: Solve for x
    x = 89,538,216,116.43/411,384
  6. Step 6: Final answer
    x = 217,651.19

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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.