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Finding the Fourth Proportional to 493,853.52, 740,780.56 and 138,867.54

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Solution

The fourth proportional to 493,853.52, 740,780.56 and 138,867.54 is: 208,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,853.52 : 740,780.56 = 138,867.54 : x
  2. Step 2: Convert to fraction form
    493,853.52/740,780.56 = 138,867.54/x
  3. Step 3: Cross multiply
    493,853.52x = 740,780.56 × 138,867.54
  4. Step 4: Simplify right side
    493,853.52x = 102,870,374,047.02
  5. Step 5: Solve for x
    x = 102,870,374,047.02/493,853.52
  6. Step 6: Final answer
    x = 208,301.39

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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.