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Finding the Fourth Proportional to 381,465.48, 526,257.90 and 230,475

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Solution

The fourth proportional to 381,465.48, 526,257.90 and 230,475 is: 317,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,465.48 : 526,257.90 = 230,475 : x
  2. Step 2: Convert to fraction form
    381,465.48/526,257.90 = 230,475/x
  3. Step 3: Cross multiply
    381,465.48x = 526,257.90 × 230,475
  4. Step 4: Simplify right side
    381,465.48x = 121,289,289,502.50
  5. Step 5: Solve for x
    x = 121,289,289,502.50/381,465.48
  6. Step 6: Final answer
    x = 317,956.13

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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.