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Finding the Fourth Proportional to 416,487.78, 624,726.18 and 100,947.42

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Solution

The fourth proportional to 416,487.78, 624,726.18 and 100,947.42 is: 151,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,487.78 : 624,726.18 = 100,947.42 : x
  2. Step 2: Convert to fraction form
    416,487.78/624,726.18 = 100,947.42/x
  3. Step 3: Cross multiply
    416,487.78x = 624,726.18 × 100,947.42
  4. Step 4: Simplify right side
    416,487.78x = 63,064,496,077.46
  5. Step 5: Solve for x
    x = 63,064,496,077.46/416,487.78
  6. Step 6: Final answer
    x = 151,419.80

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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.