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Finding the Fourth Proportional to 399,213.80, 598,300.70 and 162,279.72

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Solution

The fourth proportional to 399,213.80, 598,300.70 and 162,279.72 is: 243,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,213.80 : 598,300.70 = 162,279.72 : x
  2. Step 2: Convert to fraction form
    399,213.80/598,300.70 = 162,279.72/x
  3. Step 3: Cross multiply
    399,213.80x = 598,300.70 × 162,279.72
  4. Step 4: Simplify right side
    399,213.80x = 97,092,070,071.80
  5. Step 5: Solve for x
    x = 97,092,070,071.80/399,213.80
  6. Step 6: Final answer
    x = 243,208.20

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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.