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Finding the Fourth Proportional to 457,024.31, 630,685.80 and 253,070.87

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Solution

The fourth proportional to 457,024.31, 630,685.80 and 253,070.87 is: 349,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,024.31 : 630,685.80 = 253,070.87 : x
  2. Step 2: Convert to fraction form
    457,024.31/630,685.80 = 253,070.87/x
  3. Step 3: Cross multiply
    457,024.31x = 630,685.80 × 253,070.87
  4. Step 4: Simplify right side
    457,024.31x = 159,608,204,102.65
  5. Step 5: Solve for x
    x = 159,608,204,102.65/457,024.31
  6. Step 6: Final answer
    x = 349,233.51

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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.