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Finding the Fourth Proportional to 391,274.80, 586,231.80 and 180,480.40

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Solution

The fourth proportional to 391,274.80, 586,231.80 and 180,480.40 is: 270,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,274.80 : 586,231.80 = 180,480.40 : x
  2. Step 2: Convert to fraction form
    391,274.80/586,231.80 = 180,480.40/x
  3. Step 3: Cross multiply
    391,274.80x = 586,231.80 × 180,480.40
  4. Step 4: Simplify right side
    391,274.80x = 105,803,349,756.72
  5. Step 5: Solve for x
    x = 105,803,349,756.72/391,274.80
  6. Step 6: Final answer
    x = 270,406.76

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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.