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Finding the Fourth Proportional to 454,053.86, 681,078.90 and 138,509.72

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Solution

The fourth proportional to 454,053.86, 681,078.90 and 138,509.72 is: 207,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,053.86 : 681,078.90 = 138,509.72 : x
  2. Step 2: Convert to fraction form
    454,053.86/681,078.90 = 138,509.72/x
  3. Step 3: Cross multiply
    454,053.86x = 681,078.90 × 138,509.72
  4. Step 4: Simplify right side
    454,053.86x = 94,336,047,736.91
  5. Step 5: Solve for x
    x = 94,336,047,736.91/454,053.86
  6. Step 6: Final answer
    x = 207,764.00

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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.