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Finding the Fourth Proportional to 258,082.60, 387,047.10 and 100,220.20

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Solution

The fourth proportional to 258,082.60, 387,047.10 and 100,220.20 is: 150,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,082.60 : 387,047.10 = 100,220.20 : x
  2. Step 2: Convert to fraction form
    258,082.60/387,047.10 = 100,220.20/x
  3. Step 3: Cross multiply
    258,082.60x = 387,047.10 × 100,220.20
  4. Step 4: Simplify right side
    258,082.60x = 38,789,937,771.42
  5. Step 5: Solve for x
    x = 38,789,937,771.42/258,082.60
  6. Step 6: Final answer
    x = 150,300.48

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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.