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Finding the Fourth Proportional to 205,316.40, 307,974.60 and 148,891.80

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Solution

The fourth proportional to 205,316.40, 307,974.60 and 148,891.80 is: 223,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,316.40 : 307,974.60 = 148,891.80 : x
  2. Step 2: Convert to fraction form
    205,316.40/307,974.60 = 148,891.80/x
  3. Step 3: Cross multiply
    205,316.40x = 307,974.60 × 148,891.80
  4. Step 4: Simplify right side
    205,316.40x = 45,854,892,548.28
  5. Step 5: Solve for x
    x = 45,854,892,548.28/205,316.40
  6. Step 6: Final answer
    x = 223,337.70

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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.