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Finding the Fourth Proportional to 205,306.40, 307,959.60 and 148,881.80

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Solution

The fourth proportional to 205,306.40, 307,959.60 and 148,881.80 is: 223,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,306.40 : 307,959.60 = 148,881.80 : x
  2. Step 2: Convert to fraction form
    205,306.40/307,959.60 = 148,881.80/x
  3. Step 3: Cross multiply
    205,306.40x = 307,959.60 × 148,881.80
  4. Step 4: Simplify right side
    205,306.40x = 45,849,579,575.28
  5. Step 5: Solve for x
    x = 45,849,579,575.28/205,306.40
  6. Step 6: Final answer
    x = 223,322.70

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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.