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Finding the Fourth Proportional to 257,906.10, 386,859.15 and 240,410.10

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Solution

The fourth proportional to 257,906.10, 386,859.15 and 240,410.10 is: 360,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,906.10 : 386,859.15 = 240,410.10 : x
  2. Step 2: Convert to fraction form
    257,906.10/386,859.15 = 240,410.10/x
  3. Step 3: Cross multiply
    257,906.10x = 386,859.15 × 240,410.10
  4. Step 4: Simplify right side
    257,906.10x = 93,004,846,937.42
  5. Step 5: Solve for x
    x = 93,004,846,937.42/257,906.10
  6. Step 6: Final answer
    x = 360,615.15

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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.