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Finding the Fourth Proportional to 515,951.64, 711,989.30 and 286,523.46

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Solution

The fourth proportional to 515,951.64, 711,989.30 and 286,523.46 is: 395,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,951.64 : 711,989.30 = 286,523.46 : x
  2. Step 2: Convert to fraction form
    515,951.64/711,989.30 = 286,523.46/x
  3. Step 3: Cross multiply
    515,951.64x = 711,989.30 × 286,523.46
  4. Step 4: Simplify right side
    515,951.64x = 204,001,632,726.41
  5. Step 5: Solve for x
    x = 204,001,632,726.41/515,951.64
  6. Step 6: Final answer
    x = 395,389.06

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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.