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Finding the Fourth Proportional to 415,389.68, 623,349.48 and 149,144.72

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Solution

The fourth proportional to 415,389.68, 623,349.48 and 149,144.72 is: 223,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,389.68 : 623,349.48 = 149,144.72 : x
  2. Step 2: Convert to fraction form
    415,389.68/623,349.48 = 149,144.72/x
  3. Step 3: Cross multiply
    415,389.68x = 623,349.48 × 149,144.72
  4. Step 4: Simplify right side
    415,389.68x = 92,969,283,656.75
  5. Step 5: Solve for x
    x = 92,969,283,656.75/415,389.68
  6. Step 6: Final answer
    x = 223,812.21

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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.