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Finding the Fourth Proportional to 381,387, 526,410.78 and 260,577.12

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Solution

The fourth proportional to 381,387, 526,410.78 and 260,577.12 is: 359,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,387 : 526,410.78 = 260,577.12 : x
  2. Step 2: Convert to fraction form
    381,387/526,410.78 = 260,577.12/x
  3. Step 3: Cross multiply
    381,387x = 526,410.78 × 260,577.12
  4. Step 4: Simplify right side
    381,387x = 137,170,604,989.35
  5. Step 5: Solve for x
    x = 137,170,604,989.35/381,387
  6. Step 6: Final answer
    x = 359,662.51

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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.