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Finding the Fourth Proportional to 415,357.72, 623,036.50 and 99,814.62

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Solution

The fourth proportional to 415,357.72, 623,036.50 and 99,814.62 is: 149,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,357.72 : 623,036.50 = 99,814.62 : x
  2. Step 2: Convert to fraction form
    415,357.72/623,036.50 = 99,814.62/x
  3. Step 3: Cross multiply
    415,357.72x = 623,036.50 × 99,814.62
  4. Step 4: Simplify right side
    415,357.72x = 62,188,151,244.09
  5. Step 5: Solve for x
    x = 62,188,151,244.09/415,357.72
  6. Step 6: Final answer
    x = 149,721.91

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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.