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Finding the Fourth Proportional to 457,345.79, 631,356.57 and 321,496.19

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Solution

The fourth proportional to 457,345.79, 631,356.57 and 321,496.19 is: 443,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,345.79 : 631,356.57 = 321,496.19 : x
  2. Step 2: Convert to fraction form
    457,345.79/631,356.57 = 321,496.19/x
  3. Step 3: Cross multiply
    457,345.79x = 631,356.57 × 321,496.19
  4. Step 4: Simplify right side
    457,345.79x = 202,978,728,629.69
  5. Step 5: Solve for x
    x = 202,978,728,629.69/457,345.79
  6. Step 6: Final answer
    x = 443,818.96

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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.