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Finding the Fourth Proportional to 399,212.80, 598,299.20 and 162,278.72

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Solution

The fourth proportional to 399,212.80, 598,299.20 and 162,278.72 is: 243,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,212.80 : 598,299.20 = 162,278.72 : x
  2. Step 2: Convert to fraction form
    399,212.80/598,299.20 = 162,278.72/x
  3. Step 3: Cross multiply
    399,212.80x = 598,299.20 × 162,278.72
  4. Step 4: Simplify right side
    399,212.80x = 97,091,228,353.02
  5. Step 5: Solve for x
    x = 97,091,228,353.02/399,212.80
  6. Step 6: Final answer
    x = 243,206.70

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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.