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Finding the Fourth Proportional to 457,963.16, 631,575.46 and 285,897.01

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Solution

The fourth proportional to 457,963.16, 631,575.46 and 285,897.01 is: 394,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,963.16 : 631,575.46 = 285,897.01 : x
  2. Step 2: Convert to fraction form
    457,963.16/631,575.46 = 285,897.01/x
  3. Step 3: Cross multiply
    457,963.16x = 631,575.46 × 285,897.01
  4. Step 4: Simplify right side
    457,963.16x = 180,565,535,603.38
  5. Step 5: Solve for x
    x = 180,565,535,603.38/457,963.16
  6. Step 6: Final answer
    x = 394,279.61

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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.