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Finding the Fourth Proportional to 632,138.72, 947,715.92 and 316,433.12

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Solution

The fourth proportional to 632,138.72, 947,715.92 and 316,433.12 is: 474,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,138.72 : 947,715.92 = 316,433.12 : x
  2. Step 2: Convert to fraction form
    632,138.72/947,715.92 = 316,433.12/x
  3. Step 3: Cross multiply
    632,138.72x = 947,715.92 × 316,433.12
  4. Step 4: Simplify right side
    632,138.72x = 299,888,705,439.27
  5. Step 5: Solve for x
    x = 299,888,705,439.27/632,138.72
  6. Step 6: Final answer
    x = 474,403.32

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Double scale
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Similar ratio
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1.5x scale

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.