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Finding the Fourth Proportional to 299,422.10, 412,153.71 and 261,114.06

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Solution

The fourth proportional to 299,422.10, 412,153.71 and 261,114.06 is: 359,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,422.10 : 412,153.71 = 261,114.06 : x
  2. Step 2: Convert to fraction form
    299,422.10/412,153.71 = 261,114.06/x
  3. Step 3: Cross multiply
    299,422.10x = 412,153.71 × 261,114.06
  4. Step 4: Simplify right side
    299,422.10x = 107,619,128,562.16
  5. Step 5: Solve for x
    x = 107,619,128,562.16/299,422.10
  6. Step 6: Final answer
    x = 359,422.80

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1.5x scale

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.