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Finding the Fourth Proportional to 420,279.15, 580,029.90 and 257,031.15

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Solution

The fourth proportional to 420,279.15, 580,029.90 and 257,031.15 is: 354,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,279.15 : 580,029.90 = 257,031.15 : x
  2. Step 2: Convert to fraction form
    420,279.15/580,029.90 = 257,031.15/x
  3. Step 3: Cross multiply
    420,279.15x = 580,029.90 × 257,031.15
  4. Step 4: Simplify right side
    420,279.15x = 149,085,752,231.39
  5. Step 5: Solve for x
    x = 149,085,752,231.39/420,279.15
  6. Step 6: Final answer
    x = 354,730.31

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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.