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Finding the Fourth Proportional to 391,114.60, 586,211.10 and 204,029.80

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Solution

The fourth proportional to 391,114.60, 586,211.10 and 204,029.80 is: 305,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,114.60 : 586,211.10 = 204,029.80 : x
  2. Step 2: Convert to fraction form
    391,114.60/586,211.10 = 204,029.80/x
  3. Step 3: Cross multiply
    391,114.60x = 586,211.10 × 204,029.80
  4. Step 4: Simplify right side
    391,114.60x = 119,604,533,490.78
  5. Step 5: Solve for x
    x = 119,604,533,490.78/391,114.60
  6. Step 6: Final answer
    x = 305,804.32

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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.