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Finding the Fourth Proportional to 458,319, 687,497.13 and 218,309.52

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Solution

The fourth proportional to 458,319, 687,497.13 and 218,309.52 is: 327,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,319 : 687,497.13 = 218,309.52 : x
  2. Step 2: Convert to fraction form
    458,319/687,497.13 = 218,309.52/x
  3. Step 3: Cross multiply
    458,319x = 687,497.13 × 218,309.52
  4. Step 4: Simplify right side
    458,319x = 150,087,168,451.68
  5. Step 5: Solve for x
    x = 150,087,168,451.68/458,319
  6. Step 6: Final answer
    x = 327,473.15

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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.