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Finding the Fourth Proportional to 493,882.28, 681,543.55 and 289,929.95

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Solution

The fourth proportional to 493,882.28, 681,543.55 and 289,929.95 is: 400,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,882.28 : 681,543.55 = 289,929.95 : x
  2. Step 2: Convert to fraction form
    493,882.28/681,543.55 = 289,929.95/x
  3. Step 3: Cross multiply
    493,882.28x = 681,543.55 × 289,929.95
  4. Step 4: Simplify right side
    493,882.28x = 197,599,887,374.32
  5. Step 5: Solve for x
    x = 197,599,887,374.32/493,882.28
  6. Step 6: Final answer
    x = 400,095.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.