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Finding the Fourth Proportional to 513,693.78, 708,898.26 and 284,260.72

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Solution

The fourth proportional to 513,693.78, 708,898.26 and 284,260.72 is: 392,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,693.78 : 708,898.26 = 284,260.72 : x
  2. Step 2: Convert to fraction form
    513,693.78/708,898.26 = 284,260.72/x
  3. Step 3: Cross multiply
    513,693.78x = 708,898.26 × 284,260.72
  4. Step 4: Simplify right side
    513,693.78x = 201,511,929,794.35
  5. Step 5: Solve for x
    x = 201,511,929,794.35/513,693.78
  6. Step 6: Final answer
    x = 392,280.26

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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.