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Finding the Fourth Proportional to 457,844, 631,863.68 and 256,678.88

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Solution

The fourth proportional to 457,844, 631,863.68 and 256,678.88 is: 354,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,844 : 631,863.68 = 256,678.88 : x
  2. Step 2: Convert to fraction form
    457,844/631,863.68 = 256,678.88/x
  3. Step 3: Cross multiply
    457,844x = 631,863.68 × 256,678.88
  4. Step 4: Simplify right side
    457,844x = 162,186,061,695.08
  5. Step 5: Solve for x
    x = 162,186,061,695.08/457,844
  6. Step 6: Final answer
    x = 354,238.70

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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.