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Finding the Fourth Proportional to 312,079.32, 430,668 and 168,839.64

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Solution

The fourth proportional to 312,079.32, 430,668 and 168,839.64 is: 232,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,079.32 : 430,668 = 168,839.64 : x
  2. Step 2: Convert to fraction form
    312,079.32/430,668 = 168,839.64/x
  3. Step 3: Cross multiply
    312,079.32x = 430,668 × 168,839.64
  4. Step 4: Simplify right side
    312,079.32x = 72,713,830,079.52
  5. Step 5: Solve for x
    x = 72,713,830,079.52/312,079.32
  6. Step 6: Final answer
    x = 232,997.91

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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.