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Finding the Fourth Proportional to 256,292.10, 384,401.70 and 87,820.20

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Solution

The fourth proportional to 256,292.10, 384,401.70 and 87,820.20 is: 131,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,292.10 : 384,401.70 = 87,820.20 : x
  2. Step 2: Convert to fraction form
    256,292.10/384,401.70 = 87,820.20/x
  3. Step 3: Cross multiply
    256,292.10x = 384,401.70 × 87,820.20
  4. Step 4: Simplify right side
    256,292.10x = 33,758,234,174.34
  5. Step 5: Solve for x
    x = 33,758,234,174.34/256,292.10
  6. Step 6: Final answer
    x = 131,717.81

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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.