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Finding the Fourth Proportional to 475,723, 656,517.68 and 260,871.36

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Solution

The fourth proportional to 475,723, 656,517.68 and 260,871.36 is: 360,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,723 : 656,517.68 = 260,871.36 : x
  2. Step 2: Convert to fraction form
    475,723/656,517.68 = 260,871.36/x
  3. Step 3: Cross multiply
    475,723x = 656,517.68 × 260,871.36
  4. Step 4: Simplify right side
    475,723x = 171,266,660,045.65
  5. Step 5: Solve for x
    x = 171,266,660,045.65/475,723
  6. Step 6: Final answer
    x = 360,013.41

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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.