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Finding the Fourth Proportional to 415,205.25, 623,072.79 and 148,959.87

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Solution

The fourth proportional to 415,205.25, 623,072.79 and 148,959.87 is: 223,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,205.25 : 623,072.79 = 148,959.87 : x
  2. Step 2: Convert to fraction form
    415,205.25/623,072.79 = 148,959.87/x
  3. Step 3: Cross multiply
    415,205.25x = 623,072.79 × 148,959.87
  4. Step 4: Simplify right side
    415,205.25x = 92,812,841,798.94
  5. Step 5: Solve for x
    x = 92,812,841,798.94/415,205.25
  6. Step 6: Final answer
    x = 223,534.85

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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.