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Finding the Fourth Proportional to 527,686.03, 728,207.35 and 285,968.61

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Solution

The fourth proportional to 527,686.03, 728,207.35 and 285,968.61 is: 394,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,686.03 : 728,207.35 = 285,968.61 : x
  2. Step 2: Convert to fraction form
    527,686.03/728,207.35 = 285,968.61/x
  3. Step 3: Cross multiply
    527,686.03x = 728,207.35 × 285,968.61
  4. Step 4: Simplify right side
    527,686.03x = 208,244,443,671.28
  5. Step 5: Solve for x
    x = 208,244,443,671.28/527,686.03
  6. Step 6: Final answer
    x = 394,637.02

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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.