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Finding the Fourth Proportional to 457,421.64, 631,223.73 and 253,481.19

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Solution

The fourth proportional to 457,421.64, 631,223.73 and 253,481.19 is: 349,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,421.64 : 631,223.73 = 253,481.19 : x
  2. Step 2: Convert to fraction form
    457,421.64/631,223.73 = 253,481.19/x
  3. Step 3: Cross multiply
    457,421.64x = 631,223.73 × 253,481.19
  4. Step 4: Simplify right side
    457,421.64x = 160,003,342,236.64
  5. Step 5: Solve for x
    x = 160,003,342,236.64/457,421.64
  6. Step 6: Final answer
    x = 349,793.99

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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.