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Finding the Fourth Proportional to 453,698.96, 680,646.84 and 138,147.60

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Solution

The fourth proportional to 453,698.96, 680,646.84 and 138,147.60 is: 207,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,698.96 : 680,646.84 = 138,147.60 : x
  2. Step 2: Convert to fraction form
    453,698.96/680,646.84 = 138,147.60/x
  3. Step 3: Cross multiply
    453,698.96x = 680,646.84 × 138,147.60
  4. Step 4: Simplify right side
    453,698.96x = 94,029,727,393.58
  5. Step 5: Solve for x
    x = 94,029,727,393.58/453,698.96
  6. Step 6: Final answer
    x = 207,251.36

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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.