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Finding the Fourth Proportional to 457,403.70, 631,230.96 and 253,435.54

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Solution

The fourth proportional to 457,403.70, 631,230.96 and 253,435.54 is: 349,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,403.70 : 631,230.96 = 253,435.54 : x
  2. Step 2: Convert to fraction form
    457,403.70/631,230.96 = 253,435.54/x
  3. Step 3: Cross multiply
    457,403.70x = 631,230.96 × 253,435.54
  4. Step 4: Simplify right side
    457,403.70x = 159,976,359,212.32
  5. Step 5: Solve for x
    x = 159,976,359,212.32/457,403.70
  6. Step 6: Final answer
    x = 349,748.72

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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.