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Finding the Fourth Proportional to 312,306.64, 430,983.31 and 169,066.69

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Solution

The fourth proportional to 312,306.64, 430,983.31 and 169,066.69 is: 233,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306.64 : 430,983.31 = 169,066.69 : x
  2. Step 2: Convert to fraction form
    312,306.64/430,983.31 = 169,066.69/x
  3. Step 3: Cross multiply
    312,306.64x = 430,983.31 × 169,066.69
  4. Step 4: Simplify right side
    312,306.64x = 72,864,920,470.96
  5. Step 5: Solve for x
    x = 72,864,920,470.96/312,306.64
  6. Step 6: Final answer
    x = 233,312.11

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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.