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Finding the Fourth Proportional to 381,256.32, 571,888.58 and 115,019.14

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Solution

The fourth proportional to 381,256.32, 571,888.58 and 115,019.14 is: 172,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,256.32 : 571,888.58 = 115,019.14 : x
  2. Step 2: Convert to fraction form
    381,256.32/571,888.58 = 115,019.14/x
  3. Step 3: Cross multiply
    381,256.32x = 571,888.58 × 115,019.14
  4. Step 4: Simplify right side
    381,256.32x = 65,778,132,647.42
  5. Step 5: Solve for x
    x = 65,778,132,647.42/381,256.32
  6. Step 6: Final answer
    x = 172,529.95

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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.