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Finding the Fourth Proportional to 443,663.32, 665,938.86 and 207,172.48

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Solution

The fourth proportional to 443,663.32, 665,938.86 and 207,172.48 is: 310,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,663.32 : 665,938.86 = 207,172.48 : x
  2. Step 2: Convert to fraction form
    443,663.32/665,938.86 = 207,172.48/x
  3. Step 3: Cross multiply
    443,663.32x = 665,938.86 × 207,172.48
  4. Step 4: Simplify right side
    443,663.32x = 137,964,205,154.57
  5. Step 5: Solve for x
    x = 137,964,205,154.57/443,663.32
  6. Step 6: Final answer
    x = 310,965.99

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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.