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Finding the Fourth Proportional to 258,009.76, 387,039.08 and 100,250.38

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Solution

The fourth proportional to 258,009.76, 387,039.08 and 100,250.38 is: 150,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,009.76 : 387,039.08 = 100,250.38 : x
  2. Step 2: Convert to fraction form
    258,009.76/387,039.08 = 100,250.38/x
  3. Step 3: Cross multiply
    258,009.76x = 387,039.08 × 100,250.38
  4. Step 4: Simplify right side
    258,009.76x = 38,800,814,844.85
  5. Step 5: Solve for x
    x = 38,800,814,844.85/258,009.76
  6. Step 6: Final answer
    x = 150,385.07

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1.5x scale

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.