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Finding the Fourth Proportional to 457,406.49, 631,211.52 and 253,455.66

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Solution

The fourth proportional to 457,406.49, 631,211.52 and 253,455.66 is: 349,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,406.49 : 631,211.52 = 253,455.66 : x
  2. Step 2: Convert to fraction form
    457,406.49/631,211.52 = 253,455.66/x
  3. Step 3: Cross multiply
    457,406.49x = 631,211.52 × 253,455.66
  4. Step 4: Simplify right side
    457,406.49x = 159,984,132,401.20
  5. Step 5: Solve for x
    x = 159,984,132,401.20/457,406.49
  6. Step 6: Final answer
    x = 349,763.58

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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.