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Finding the Fourth Proportional to 261,406.77, 360,726.39 and 145,114.26

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Solution

The fourth proportional to 261,406.77, 360,726.39 and 145,114.26 is: 200,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,406.77 : 360,726.39 = 145,114.26 : x
  2. Step 2: Convert to fraction form
    261,406.77/360,726.39 = 145,114.26/x
  3. Step 3: Cross multiply
    261,406.77x = 360,726.39 × 145,114.26
  4. Step 4: Simplify right side
    261,406.77x = 52,346,543,147.32
  5. Step 5: Solve for x
    x = 52,346,543,147.32/261,406.77
  6. Step 6: Final answer
    x = 200,249.38

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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.