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Finding the Fourth Proportional to 398,065.89, 549,306.05 and 219,217.89

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Solution

The fourth proportional to 398,065.89, 549,306.05 and 219,217.89 is: 302,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,065.89 : 549,306.05 = 219,217.89 : x
  2. Step 2: Convert to fraction form
    398,065.89/549,306.05 = 219,217.89/x
  3. Step 3: Cross multiply
    398,065.89x = 549,306.05 × 219,217.89
  4. Step 4: Simplify right side
    398,065.89x = 120,417,712,149.15
  5. Step 5: Solve for x
    x = 120,417,712,149.15/398,065.89
  6. Step 6: Final answer
    x = 302,506.98

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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.