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Finding the Fourth Proportional to 656,970.32, 985,446.84 and 158,330

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Solution

The fourth proportional to 656,970.32, 985,446.84 and 158,330 is: 237,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,970.32 : 985,446.84 = 158,330 : x
  2. Step 2: Convert to fraction form
    656,970.32/985,446.84 = 158,330/x
  3. Step 3: Cross multiply
    656,970.32x = 985,446.84 × 158,330
  4. Step 4: Simplify right side
    656,970.32x = 156,025,798,177.20
  5. Step 5: Solve for x
    x = 156,025,798,177.20/656,970.32
  6. Step 6: Final answer
    x = 237,492.92

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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.