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Finding the Fourth Proportional to 280,698.46, 387,363.48 and 159,839.74

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Solution

The fourth proportional to 280,698.46, 387,363.48 and 159,839.74 is: 220,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,698.46 : 387,363.48 = 159,839.74 : x
  2. Step 2: Convert to fraction form
    280,698.46/387,363.48 = 159,839.74/x
  3. Step 3: Cross multiply
    280,698.46x = 387,363.48 × 159,839.74
  4. Step 4: Simplify right side
    280,698.46x = 61,916,077,813.50
  5. Step 5: Solve for x
    x = 61,916,077,813.50/280,698.46
  6. Step 6: Final answer
    x = 220,578.62

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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.