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Finding the Fourth Proportional to 462,854.90, 693,821.55 and 213,101.30

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Solution

The fourth proportional to 462,854.90, 693,821.55 and 213,101.30 is: 319,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,854.90 : 693,821.55 = 213,101.30 : x
  2. Step 2: Convert to fraction form
    462,854.90/693,821.55 = 213,101.30/x
  3. Step 3: Cross multiply
    462,854.90x = 693,821.55 × 213,101.30
  4. Step 4: Simplify right side
    462,854.90x = 147,854,274,273.02
  5. Step 5: Solve for x
    x = 147,854,274,273.02/462,854.90
  6. Step 6: Final answer
    x = 319,439.79

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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.