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Finding the Fourth Proportional to 526,086.72, 725,999.70 and 284,368.50

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Solution

The fourth proportional to 526,086.72, 725,999.70 and 284,368.50 is: 392,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,086.72 : 725,999.70 = 284,368.50 : x
  2. Step 2: Convert to fraction form
    526,086.72/725,999.70 = 284,368.50/x
  3. Step 3: Cross multiply
    526,086.72x = 725,999.70 × 284,368.50
  4. Step 4: Simplify right side
    526,086.72x = 206,451,445,689.45
  5. Step 5: Solve for x
    x = 206,451,445,689.45/526,086.72
  6. Step 6: Final answer
    x = 392,428.54

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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.