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Finding the Fourth Proportional to 457,335, 631,122.30 and 256,131

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Solution

The fourth proportional to 457,335, 631,122.30 and 256,131 is: 353,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,335 : 631,122.30 = 256,131 : x
  2. Step 2: Convert to fraction form
    457,335/631,122.30 = 256,131/x
  3. Step 3: Cross multiply
    457,335x = 631,122.30 × 256,131
  4. Step 4: Simplify right side
    457,335x = 161,649,985,821.30
  5. Step 5: Solve for x
    x = 161,649,985,821.30/457,335
  6. Step 6: Final answer
    x = 353,460.78

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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.