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Finding the Fourth Proportional to 535,318.80, 802,978.20 and 219,613.20

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Solution

The fourth proportional to 535,318.80, 802,978.20 and 219,613.20 is: 329,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,318.80 : 802,978.20 = 219,613.20 : x
  2. Step 2: Convert to fraction form
    535,318.80/802,978.20 = 219,613.20/x
  3. Step 3: Cross multiply
    535,318.80x = 802,978.20 × 219,613.20
  4. Step 4: Simplify right side
    535,318.80x = 176,344,612,032.24
  5. Step 5: Solve for x
    x = 176,344,612,032.24/535,318.80
  6. Step 6: Final answer
    x = 329,419.80

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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.