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Finding the Fourth Proportional to 302,257.68, 417,227.88 and 259,645.20

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Solution

The fourth proportional to 302,257.68, 417,227.88 and 259,645.20 is: 358,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,257.68 : 417,227.88 = 259,645.20 : x
  2. Step 2: Convert to fraction form
    302,257.68/417,227.88 = 259,645.20/x
  3. Step 3: Cross multiply
    302,257.68x = 417,227.88 × 259,645.20
  4. Step 4: Simplify right side
    302,257.68x = 108,331,216,348.18
  5. Step 5: Solve for x
    x = 108,331,216,348.18/302,257.68
  6. Step 6: Final answer
    x = 358,406.83

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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.