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Finding the Fourth Proportional to 399,397.80, 598,319.10 and 221,586.60

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Solution

The fourth proportional to 399,397.80, 598,319.10 and 221,586.60 is: 331,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,397.80 : 598,319.10 = 221,586.60 : x
  2. Step 2: Convert to fraction form
    399,397.80/598,319.10 = 221,586.60/x
  3. Step 3: Cross multiply
    399,397.80x = 598,319.10 × 221,586.60
  4. Step 4: Simplify right side
    399,397.80x = 132,579,495,084.06
  5. Step 5: Solve for x
    x = 132,579,495,084.06/399,397.80
  6. Step 6: Final answer
    x = 331,948.49

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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.