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Finding the Fourth Proportional to 512,999.71, 707,927.23 and 280,416.31

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Solution

The fourth proportional to 512,999.71, 707,927.23 and 280,416.31 is: 386,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.71 : 707,927.23 = 280,416.31 : x
  2. Step 2: Convert to fraction form
    512,999.71/707,927.23 = 280,416.31/x
  3. Step 3: Cross multiply
    512,999.71x = 707,927.23 × 280,416.31
  4. Step 4: Simplify right side
    512,999.71x = 198,514,341,585.12
  5. Step 5: Solve for x
    x = 198,514,341,585.12/512,999.71
  6. Step 6: Final answer
    x = 386,967.75

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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.