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Finding the Fourth Proportional to 415,357.35, 623,035.94 and 99,814.25

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Solution

The fourth proportional to 415,357.35, 623,035.94 and 99,814.25 is: 149,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,357.35 : 623,035.94 = 99,814.25 : x
  2. Step 2: Convert to fraction form
    415,357.35/623,035.94 = 99,814.25/x
  3. Step 3: Cross multiply
    415,357.35x = 623,035.94 × 99,814.25
  4. Step 4: Simplify right side
    415,357.35x = 62,187,866,132.66
  5. Step 5: Solve for x
    x = 62,187,866,132.66/415,357.35
  6. Step 6: Final answer
    x = 149,721.36

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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.