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Finding the Fourth Proportional to 493,952.75, 740,929.15 and 138,966.60

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Solution

The fourth proportional to 493,952.75, 740,929.15 and 138,966.60 is: 208,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,952.75 : 740,929.15 = 138,966.60 : x
  2. Step 2: Convert to fraction form
    493,952.75/740,929.15 = 138,966.60/x
  3. Step 3: Cross multiply
    493,952.75x = 740,929.15 × 138,966.60
  4. Step 4: Simplify right side
    493,952.75x = 102,964,404,816.39
  5. Step 5: Solve for x
    x = 102,964,404,816.39/493,952.75
  6. Step 6: Final answer
    x = 208,449.91

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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.