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Finding the Fourth Proportional to 457,475.90, 631,318.32 and 253,530.26

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Solution

The fourth proportional to 457,475.90, 631,318.32 and 253,530.26 is: 349,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,475.90 : 631,318.32 = 253,530.26 : x
  2. Step 2: Convert to fraction form
    457,475.90/631,318.32 = 253,530.26/x
  3. Step 3: Cross multiply
    457,475.90x = 631,318.32 × 253,530.26
  4. Step 4: Simplify right side
    457,475.90x = 160,058,297,812.36
  5. Step 5: Solve for x
    x = 160,058,297,812.36/457,475.90
  6. Step 6: Final answer
    x = 349,872.63

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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.