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Finding the Fourth Proportional to 261,345.42, 360,859.83 and 200,820.66

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Solution

The fourth proportional to 261,345.42, 360,859.83 and 200,820.66 is: 277,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,345.42 : 360,859.83 = 200,820.66 : x
  2. Step 2: Convert to fraction form
    261,345.42/360,859.83 = 200,820.66/x
  3. Step 3: Cross multiply
    261,345.42x = 360,859.83 × 200,820.66
  4. Step 4: Simplify right side
    261,345.42x = 72,468,109,228.09
  5. Step 5: Solve for x
    x = 72,468,109,228.09/261,345.42
  6. Step 6: Final answer
    x = 277,288.61

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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.