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Finding the Fourth Proportional to 465,306.64, 642,123.30 and 261,357.88

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Solution

The fourth proportional to 465,306.64, 642,123.30 and 261,357.88 is: 360,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,306.64 : 642,123.30 = 261,357.88 : x
  2. Step 2: Convert to fraction form
    465,306.64/642,123.30 = 261,357.88/x
  3. Step 3: Cross multiply
    465,306.64x = 642,123.30 × 261,357.88
  4. Step 4: Simplify right side
    465,306.64x = 167,823,984,386.60
  5. Step 5: Solve for x
    x = 167,823,984,386.60/465,306.64
  6. Step 6: Final answer
    x = 360,673.95

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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.