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Finding the Fourth Proportional to 433,878.75, 650,829.65 and 138,390.75

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Solution

The fourth proportional to 433,878.75, 650,829.65 and 138,390.75 is: 207,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,878.75 : 650,829.65 = 138,390.75 : x
  2. Step 2: Convert to fraction form
    433,878.75/650,829.65 = 138,390.75/x
  3. Step 3: Cross multiply
    433,878.75x = 650,829.65 × 138,390.75
  4. Step 4: Simplify right side
    433,878.75x = 90,068,802,693.78
  5. Step 5: Solve for x
    x = 90,068,802,693.78/433,878.75
  6. Step 6: Final answer
    x = 207,589.80

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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.