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Finding the Fourth Proportional to 381,421.96, 526,368.98 and 209,356.02

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Solution

The fourth proportional to 381,421.96, 526,368.98 and 209,356.02 is: 288,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,421.96 : 526,368.98 = 209,356.02 : x
  2. Step 2: Convert to fraction form
    381,421.96/526,368.98 = 209,356.02/x
  3. Step 3: Cross multiply
    381,421.96x = 526,368.98 × 209,356.02
  4. Step 4: Simplify right side
    381,421.96x = 110,198,515,227.65
  5. Step 5: Solve for x
    x = 110,198,515,227.65/381,421.96
  6. Step 6: Final answer
    x = 288,914.97

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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.