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Finding the Fourth Proportional to 381,834.96, 526,719.96 and 354,803.64

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Solution

The fourth proportional to 381,834.96, 526,719.96 and 354,803.64 is: 489,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,834.96 : 526,719.96 = 354,803.64 : x
  2. Step 2: Convert to fraction form
    381,834.96/526,719.96 = 354,803.64/x
  3. Step 3: Cross multiply
    381,834.96x = 526,719.96 × 354,803.64
  4. Step 4: Simplify right side
    381,834.96x = 186,882,159,068.65
  5. Step 5: Solve for x
    x = 186,882,159,068.65/381,834.96
  6. Step 6: Final answer
    x = 489,431.77

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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.