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Finding the Fourth Proportional to 457,386, 631,192.68 and 256,182

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Solution

The fourth proportional to 457,386, 631,192.68 and 256,182 is: 353,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,386 : 631,192.68 = 256,182 : x
  2. Step 2: Convert to fraction form
    457,386/631,192.68 = 256,182/x
  3. Step 3: Cross multiply
    457,386x = 631,192.68 × 256,182
  4. Step 4: Simplify right side
    457,386x = 161,700,203,147.76
  5. Step 5: Solve for x
    x = 161,700,203,147.76/457,386
  6. Step 6: Final answer
    x = 353,531.16

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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.