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Finding the Fourth Proportional to 457,406.99, 631,212.21 and 253,456.16

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Solution

The fourth proportional to 457,406.99, 631,212.21 and 253,456.16 is: 349,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,406.99 : 631,212.21 = 253,456.16 : x
  2. Step 2: Convert to fraction form
    457,406.99/631,212.21 = 253,456.16/x
  3. Step 3: Cross multiply
    457,406.99x = 631,212.21 × 253,456.16
  4. Step 4: Simplify right side
    457,406.99x = 159,984,622,891.71
  5. Step 5: Solve for x
    x = 159,984,622,891.71/457,406.99
  6. Step 6: Final answer
    x = 349,764.27

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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.