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Finding the Fourth Proportional to 477,281.28, 658,609.08 and 281,016.72

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Solution

The fourth proportional to 477,281.28, 658,609.08 and 281,016.72 is: 387,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,281.28 : 658,609.08 = 281,016.72 : x
  2. Step 2: Convert to fraction form
    477,281.28/658,609.08 = 281,016.72/x
  3. Step 3: Cross multiply
    477,281.28x = 658,609.08 × 281,016.72
  4. Step 4: Simplify right side
    477,281.28x = 185,080,163,423.82
  5. Step 5: Solve for x
    x = 185,080,163,423.82/477,281.28
  6. Step 6: Final answer
    x = 387,780.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.