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Finding the Fourth Proportional to 415,454.72, 623,094.56 and 149,230.40

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Solution

The fourth proportional to 415,454.72, 623,094.56 and 149,230.40 is: 223,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,454.72 : 623,094.56 = 149,230.40 : x
  2. Step 2: Convert to fraction form
    415,454.72/623,094.56 = 149,230.40/x
  3. Step 3: Cross multiply
    415,454.72x = 623,094.56 × 149,230.40
  4. Step 4: Simplify right side
    415,454.72x = 92,984,650,426.62
  5. Step 5: Solve for x
    x = 92,984,650,426.62/415,454.72
  6. Step 6: Final answer
    x = 223,814.16

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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.