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Finding the Fourth Proportional to 381,854.80, 571,421.40 and 332,477.20

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Solution

The fourth proportional to 381,854.80, 571,421.40 and 332,477.20 is: 497,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,854.80 : 571,421.40 = 332,477.20 : x
  2. Step 2: Convert to fraction form
    381,854.80/571,421.40 = 332,477.20/x
  3. Step 3: Cross multiply
    381,854.80x = 571,421.40 × 332,477.20
  4. Step 4: Simplify right side
    381,854.80x = 189,984,587,092.08
  5. Step 5: Solve for x
    x = 189,984,587,092.08/381,854.80
  6. Step 6: Final answer
    x = 497,530.96

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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.