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Finding the Fourth Proportional to 512,498.96, 707,248.36 and 286,144.40

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Solution

The fourth proportional to 512,498.96, 707,248.36 and 286,144.40 is: 394,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498.96 : 707,248.36 = 286,144.40 : x
  2. Step 2: Convert to fraction form
    512,498.96/707,248.36 = 286,144.40/x
  3. Step 3: Cross multiply
    512,498.96x = 707,248.36 × 286,144.40
  4. Step 4: Simplify right side
    512,498.96x = 202,375,157,623.18
  5. Step 5: Solve for x
    x = 202,375,157,623.18/512,498.96
  6. Step 6: Final answer
    x = 394,879.16

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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.