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Finding the Fourth Proportional to 457,643.23, 631,617.56 and 292,142.69

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Solution

The fourth proportional to 457,643.23, 631,617.56 and 292,142.69 is: 403,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,643.23 : 631,617.56 = 292,142.69 : x
  2. Step 2: Convert to fraction form
    457,643.23/631,617.56 = 292,142.69/x
  3. Step 3: Cross multiply
    457,643.23x = 631,617.56 × 292,142.69
  4. Step 4: Simplify right side
    457,643.23x = 184,522,451,397.55
  5. Step 5: Solve for x
    x = 184,522,451,397.55/457,643.23
  6. Step 6: Final answer
    x = 403,201.53

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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.