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Finding the Fourth Proportional to 457,142.90, 630,843.24 and 253,185.70

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Solution

The fourth proportional to 457,142.90, 630,843.24 and 253,185.70 is: 349,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,142.90 : 630,843.24 = 253,185.70 : x
  2. Step 2: Convert to fraction form
    457,142.90/630,843.24 = 253,185.70/x
  3. Step 3: Cross multiply
    457,142.90x = 630,843.24 × 253,185.70
  4. Step 4: Simplify right side
    457,142.90x = 159,720,487,309.67
  5. Step 5: Solve for x
    x = 159,720,487,309.67/457,142.90
  6. Step 6: Final answer
    x = 349,388.53

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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.