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Finding the Fourth Proportional to 457,713.27, 631,681.74 and 253,828.14

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Solution

The fourth proportional to 457,713.27, 631,681.74 and 253,828.14 is: 350,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,713.27 : 631,681.74 = 253,828.14 : x
  2. Step 2: Convert to fraction form
    457,713.27/631,681.74 = 253,828.14/x
  3. Step 3: Cross multiply
    457,713.27x = 631,681.74 × 253,828.14
  4. Step 4: Simplify right side
    457,713.27x = 160,338,601,136.16
  5. Step 5: Solve for x
    x = 160,338,601,136.16/457,713.27
  6. Step 6: Final answer
    x = 350,303.59

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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.