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Finding the Fourth Proportional to 457,685.48, 631,643.28 and 253,800.32

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Solution

The fourth proportional to 457,685.48, 631,643.28 and 253,800.32 is: 350,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,685.48 : 631,643.28 = 253,800.32 : x
  2. Step 2: Convert to fraction form
    457,685.48/631,643.28 = 253,800.32/x
  3. Step 3: Cross multiply
    457,685.48x = 631,643.28 × 253,800.32
  4. Step 4: Simplify right side
    457,685.48x = 160,311,266,589.85
  5. Step 5: Solve for x
    x = 160,311,266,589.85/457,685.48
  6. Step 6: Final answer
    x = 350,265.14

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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.