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Finding the Fourth Proportional to 272,729.34, 408,957.12 and 158,913.96

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Solution

The fourth proportional to 272,729.34, 408,957.12 and 158,913.96 is: 238,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,729.34 : 408,957.12 = 158,913.96 : x
  2. Step 2: Convert to fraction form
    272,729.34/408,957.12 = 158,913.96/x
  3. Step 3: Cross multiply
    272,729.34x = 408,957.12 × 158,913.96
  4. Step 4: Simplify right side
    272,729.34x = 64,988,995,409.40
  5. Step 5: Solve for x
    x = 64,988,995,409.40/272,729.34
  6. Step 6: Final answer
    x = 238,291.18

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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.