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Finding the Fourth Proportional to 360,981, 497,041.11 and 320,624.64

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Solution

The fourth proportional to 360,981, 497,041.11 and 320,624.64 is: 441,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,981 : 497,041.11 = 320,624.64 : x
  2. Step 2: Convert to fraction form
    360,981/497,041.11 = 320,624.64/x
  3. Step 3: Cross multiply
    360,981x = 497,041.11 × 320,624.64
  4. Step 4: Simplify right side
    360,981x = 159,363,626,958.95
  5. Step 5: Solve for x
    x = 159,363,626,958.95/360,981
  6. Step 6: Final answer
    x = 441,473.73

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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.