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Finding the Fourth Proportional to 415,418.94, 623,128.41 and 99,875.85

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Solution

The fourth proportional to 415,418.94, 623,128.41 and 99,875.85 is: 149,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,418.94 : 623,128.41 = 99,875.85 : x
  2. Step 2: Convert to fraction form
    415,418.94/623,128.41 = 99,875.85/x
  3. Step 3: Cross multiply
    415,418.94x = 623,128.41 × 99,875.85
  4. Step 4: Simplify right side
    415,418.94x = 62,235,478,358.12
  5. Step 5: Solve for x
    x = 62,235,478,358.12/415,418.94
  6. Step 6: Final answer
    x = 149,813.77

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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.