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Finding the Fourth Proportional to 283,060.64, 424,590.96 and 72,698.78

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Solution

The fourth proportional to 283,060.64, 424,590.96 and 72,698.78 is: 109,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,060.64 : 424,590.96 = 72,698.78 : x
  2. Step 2: Convert to fraction form
    283,060.64/424,590.96 = 72,698.78/x
  3. Step 3: Cross multiply
    283,060.64x = 424,590.96 × 72,698.78
  4. Step 4: Simplify right side
    283,060.64x = 30,867,246,125.13
  5. Step 5: Solve for x
    x = 30,867,246,125.13/283,060.64
  6. Step 6: Final answer
    x = 109,048.17

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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.