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Finding the Fourth Proportional to 269,471.70, 371,888 and 148,613.22

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Solution

The fourth proportional to 269,471.70, 371,888 and 148,613.22 is: 205,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,471.70 : 371,888 = 148,613.22 : x
  2. Step 2: Convert to fraction form
    269,471.70/371,888 = 148,613.22/x
  3. Step 3: Cross multiply
    269,471.70x = 371,888 × 148,613.22
  4. Step 4: Simplify right side
    269,471.70x = 55,267,473,159.36
  5. Step 5: Solve for x
    x = 55,267,473,159.36/269,471.70
  6. Step 6: Final answer
    x = 205,095.65

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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.