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Finding the Fourth Proportional to 496,957.60, 745,442.88 and 141,983.20

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Solution

The fourth proportional to 496,957.60, 745,442.88 and 141,983.20 is: 212,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,957.60 : 745,442.88 = 141,983.20 : x
  2. Step 2: Convert to fraction form
    496,957.60/745,442.88 = 141,983.20/x
  3. Step 3: Cross multiply
    496,957.60x = 745,442.88 × 141,983.20
  4. Step 4: Simplify right side
    496,957.60x = 105,840,365,519.62
  5. Step 5: Solve for x
    x = 105,840,365,519.62/496,957.60
  6. Step 6: Final answer
    x = 212,976.65

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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.