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Finding the Fourth Proportional to 542,980.80, 814,276.08 and 187,898.40

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Solution

The fourth proportional to 542,980.80, 814,276.08 and 187,898.40 is: 281,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,980.80 : 814,276.08 = 187,898.40 : x
  2. Step 2: Convert to fraction form
    542,980.80/814,276.08 = 187,898.40/x
  3. Step 3: Cross multiply
    542,980.80x = 814,276.08 × 187,898.40
  4. Step 4: Simplify right side
    542,980.80x = 153,001,172,590.27
  5. Step 5: Solve for x
    x = 153,001,172,590.27/542,980.80
  6. Step 6: Final answer
    x = 281,780.08

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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.