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Finding the Fourth Proportional to 415,419.12, 623,128.40 and 99,875.92

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Solution

The fourth proportional to 415,419.12, 623,128.40 and 99,875.92 is: 149,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,419.12 : 623,128.40 = 99,875.92 : x
  2. Step 2: Convert to fraction form
    415,419.12/623,128.40 = 99,875.92/x
  3. Step 3: Cross multiply
    415,419.12x = 623,128.40 × 99,875.92
  4. Step 4: Simplify right side
    415,419.12x = 62,235,522,228.13
  5. Step 5: Solve for x
    x = 62,235,522,228.13/415,419.12
  6. Step 6: Final answer
    x = 149,813.81

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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.