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Finding the Fourth Proportional to 457,707.80, 631,702.14 and 253,804.07

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Solution

The fourth proportional to 457,707.80, 631,702.14 and 253,804.07 is: 350,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,707.80 : 631,702.14 = 253,804.07 : x
  2. Step 2: Convert to fraction form
    457,707.80/631,702.14 = 253,804.07/x
  3. Step 3: Cross multiply
    457,707.80x = 631,702.14 × 253,804.07
  4. Step 4: Simplify right side
    457,707.80x = 160,328,571,001.20
  5. Step 5: Solve for x
    x = 160,328,571,001.20/457,707.80
  6. Step 6: Final answer
    x = 350,285.87

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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.