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Finding the Fourth Proportional to 261,395.48, 391,461.64 and 148,734.36

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Solution

The fourth proportional to 261,395.48, 391,461.64 and 148,734.36 is: 222,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,395.48 : 391,461.64 = 148,734.36 : x
  2. Step 2: Convert to fraction form
    261,395.48/391,461.64 = 148,734.36/x
  3. Step 3: Cross multiply
    261,395.48x = 391,461.64 × 148,734.36
  4. Step 4: Simplify right side
    261,395.48x = 58,223,796,489.95
  5. Step 5: Solve for x
    x = 58,223,796,489.95/261,395.48
  6. Step 6: Final answer
    x = 222,742.17

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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.