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Finding the Fourth Proportional to 280,672.32, 386,872.83 and 219,311.31

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Solution

The fourth proportional to 280,672.32, 386,872.83 and 219,311.31 is: 302,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,672.32 : 386,872.83 = 219,311.31 : x
  2. Step 2: Convert to fraction form
    280,672.32/386,872.83 = 219,311.31/x
  3. Step 3: Cross multiply
    280,672.32x = 386,872.83 × 219,311.31
  4. Step 4: Simplify right side
    280,672.32x = 84,845,587,150.71
  5. Step 5: Solve for x
    x = 84,845,587,150.71/280,672.32
  6. Step 6: Final answer
    x = 302,294.10

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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.