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Finding the Fourth Proportional to 457,382.12, 631,189.14 and 256,178.12

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Solution

The fourth proportional to 457,382.12, 631,189.14 and 256,178.12 is: 353,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,382.12 : 631,189.14 = 256,178.12 : x
  2. Step 2: Convert to fraction form
    457,382.12/631,189.14 = 256,178.12/x
  3. Step 3: Cross multiply
    457,382.12x = 631,189.14 × 256,178.12
  4. Step 4: Simplify right side
    457,382.12x = 161,696,847,249.62
  5. Step 5: Solve for x
    x = 161,696,847,249.62/457,382.12
  6. Step 6: Final answer
    x = 353,526.82

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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.