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Finding the Fourth Proportional to 515,711.24, 711,670.24 and 286,255.04

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Solution

The fourth proportional to 515,711.24, 711,670.24 and 286,255.04 is: 395,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,711.24 : 711,670.24 = 286,255.04 : x
  2. Step 2: Convert to fraction form
    515,711.24/711,670.24 = 286,255.04/x
  3. Step 3: Cross multiply
    515,711.24x = 711,670.24 × 286,255.04
  4. Step 4: Simplify right side
    515,711.24x = 203,719,193,018.01
  5. Step 5: Solve for x
    x = 203,719,193,018.01/515,711.24
  6. Step 6: Final answer
    x = 395,025.70

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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.