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Finding the Fourth Proportional to 424,417, 636,490.25 and 140,054.55

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Solution

The fourth proportional to 424,417, 636,490.25 and 140,054.55 is: 210,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,417 : 636,490.25 = 140,054.55 : x
  2. Step 2: Convert to fraction form
    424,417/636,490.25 = 140,054.55/x
  3. Step 3: Cross multiply
    424,417x = 636,490.25 × 140,054.55
  4. Step 4: Simplify right side
    424,417x = 89,143,355,543.14
  5. Step 5: Solve for x
    x = 89,143,355,543.14/424,417
  6. Step 6: Final answer
    x = 210,037.19

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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.