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Finding the Fourth Proportional to 280,678.31, 387,336.48 and 159,819.69

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Solution

The fourth proportional to 280,678.31, 387,336.48 and 159,819.69 is: 220,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,678.31 : 387,336.48 = 159,819.69 : x
  2. Step 2: Convert to fraction form
    280,678.31/387,336.48 = 159,819.69/x
  3. Step 3: Cross multiply
    280,678.31x = 387,336.48 × 159,819.69
  4. Step 4: Simplify right side
    280,678.31x = 61,903,996,159.29
  5. Step 5: Solve for x
    x = 61,903,996,159.29/280,678.31
  6. Step 6: Final answer
    x = 220,551.41

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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.