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Finding the Fourth Proportional to 457,336, 631,123.68 and 256,132

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Solution

The fourth proportional to 457,336, 631,123.68 and 256,132 is: 353,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,336 : 631,123.68 = 256,132 : x
  2. Step 2: Convert to fraction form
    457,336/631,123.68 = 256,132/x
  3. Step 3: Cross multiply
    457,336x = 631,123.68 × 256,132
  4. Step 4: Simplify right side
    457,336x = 161,650,970,405.76
  5. Step 5: Solve for x
    x = 161,650,970,405.76/457,336
  6. Step 6: Final answer
    x = 353,462.16

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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.