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Finding the Fourth Proportional to 487,211.80, 730,428.90 and 206,498.20

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Solution

The fourth proportional to 487,211.80, 730,428.90 and 206,498.20 is: 309,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,211.80 : 730,428.90 = 206,498.20 : x
  2. Step 2: Convert to fraction form
    487,211.80/730,428.90 = 206,498.20/x
  3. Step 3: Cross multiply
    487,211.80x = 730,428.90 × 206,498.20
  4. Step 4: Simplify right side
    487,211.80x = 150,832,253,077.98
  5. Step 5: Solve for x
    x = 150,832,253,077.98/487,211.80
  6. Step 6: Final answer
    x = 309,582.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.