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Finding the Fourth Proportional to 391,169.93, 586,754.90 and 213,580.07

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Solution

The fourth proportional to 391,169.93, 586,754.90 and 213,580.07 is: 320,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,169.93 : 586,754.90 = 213,580.07 : x
  2. Step 2: Convert to fraction form
    391,169.93/586,754.90 = 213,580.07/x
  3. Step 3: Cross multiply
    391,169.93x = 586,754.90 × 213,580.07
  4. Step 4: Simplify right side
    391,169.93x = 125,319,150,264.52
  5. Step 5: Solve for x
    x = 125,319,150,264.52/391,169.93
  6. Step 6: Final answer
    x = 320,370.10

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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.