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Finding the Fourth Proportional to 383,691.30, 529,531.43 and 286,726.77

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Solution

The fourth proportional to 383,691.30, 529,531.43 and 286,726.77 is: 395,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,691.30 : 529,531.43 = 286,726.77 : x
  2. Step 2: Convert to fraction form
    383,691.30/529,531.43 = 286,726.77/x
  3. Step 3: Cross multiply
    383,691.30x = 529,531.43 × 286,726.77
  4. Step 4: Simplify right side
    383,691.30x = 151,830,835,103.75
  5. Step 5: Solve for x
    x = 151,830,835,103.75/383,691.30
  6. Step 6: Final answer
    x = 395,710.91

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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.