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Finding the Fourth Proportional to 512,887.48, 707,801 and 280,309.31

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Solution

The fourth proportional to 512,887.48, 707,801 and 280,309.31 is: 386,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,887.48 : 707,801 = 280,309.31 : x
  2. Step 2: Convert to fraction form
    512,887.48/707,801 = 280,309.31/x
  3. Step 3: Cross multiply
    512,887.48x = 707,801 × 280,309.31
  4. Step 4: Simplify right side
    512,887.48x = 198,403,209,927.31
  5. Step 5: Solve for x
    x = 198,403,209,927.31/512,887.48
  6. Step 6: Final answer
    x = 386,835.74

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1.5x scale

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.