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Finding the Fourth Proportional to 574,678.72, 862,016.46 and 258,765.76

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Solution

The fourth proportional to 574,678.72, 862,016.46 and 258,765.76 is: 388,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,678.72 : 862,016.46 = 258,765.76 : x
  2. Step 2: Convert to fraction form
    574,678.72/862,016.46 = 258,765.76/x
  3. Step 3: Cross multiply
    574,678.72x = 862,016.46 × 258,765.76
  4. Step 4: Simplify right side
    574,678.72x = 223,060,344,404.41
  5. Step 5: Solve for x
    x = 223,060,344,404.41/574,678.72
  6. Step 6: Final answer
    x = 388,147.91

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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.