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Finding the Fourth Proportional to 312,095.64, 430,691.76 and 176,158.20

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Solution

The fourth proportional to 312,095.64, 430,691.76 and 176,158.20 is: 243,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,095.64 : 430,691.76 = 176,158.20 : x
  2. Step 2: Convert to fraction form
    312,095.64/430,691.76 = 176,158.20/x
  3. Step 3: Cross multiply
    312,095.64x = 430,691.76 × 176,158.20
  4. Step 4: Simplify right side
    312,095.64x = 75,869,885,196.43
  5. Step 5: Solve for x
    x = 75,869,885,196.43/312,095.64
  6. Step 6: Final answer
    x = 243,098.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.