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Finding the Fourth Proportional to 415,424.94, 623,137.42 and 99,881.86

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Solution

The fourth proportional to 415,424.94, 623,137.42 and 99,881.86 is: 149,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,424.94 : 623,137.42 = 99,881.86 : x
  2. Step 2: Convert to fraction form
    415,424.94/623,137.42 = 99,881.86/x
  3. Step 3: Cross multiply
    415,424.94x = 623,137.42 × 99,881.86
  4. Step 4: Simplify right side
    415,424.94x = 62,240,124,545.20
  5. Step 5: Solve for x
    x = 62,240,124,545.20/415,424.94
  6. Step 6: Final answer
    x = 149,822.79

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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.