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Finding the Fourth Proportional to 309,506.70, 426,962.04 and 202,139.58

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Solution

The fourth proportional to 309,506.70, 426,962.04 and 202,139.58 is: 278,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,506.70 : 426,962.04 = 202,139.58 : x
  2. Step 2: Convert to fraction form
    309,506.70/426,962.04 = 202,139.58/x
  3. Step 3: Cross multiply
    309,506.70x = 426,962.04 × 202,139.58
  4. Step 4: Simplify right side
    309,506.70x = 86,305,927,441.54
  5. Step 5: Solve for x
    x = 86,305,927,441.54/309,506.70
  6. Step 6: Final answer
    x = 278,849.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.