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Finding the Fourth Proportional to 288,536.50, 398,200.99 and 159,472.20

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Solution

The fourth proportional to 288,536.50, 398,200.99 and 159,472.20 is: 220,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,536.50 : 398,200.99 = 159,472.20 : x
  2. Step 2: Convert to fraction form
    288,536.50/398,200.99 = 159,472.20/x
  3. Step 3: Cross multiply
    288,536.50x = 398,200.99 × 159,472.20
  4. Step 4: Simplify right side
    288,536.50x = 63,501,985,129.11
  5. Step 5: Solve for x
    x = 63,501,985,129.11/288,536.50
  6. Step 6: Final answer
    x = 220,083.02

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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.