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Finding the Fourth Proportional to 381,465.48, 526,411.96 and 209,383.21

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Solution

The fourth proportional to 381,465.48, 526,411.96 and 209,383.21 is: 288,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,465.48 : 526,411.96 = 209,383.21 : x
  2. Step 2: Convert to fraction form
    381,465.48/526,411.96 = 209,383.21/x
  3. Step 3: Cross multiply
    381,465.48x = 526,411.96 × 209,383.21
  4. Step 4: Simplify right side
    381,465.48x = 110,221,827,279.53
  5. Step 5: Solve for x
    x = 110,221,827,279.53/381,465.48
  6. Step 6: Final answer
    x = 288,943.12

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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.