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Finding the Fourth Proportional to 280,540.69, 387,148.64 and 159,689.77

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Solution

The fourth proportional to 280,540.69, 387,148.64 and 159,689.77 is: 220,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,540.69 : 387,148.64 = 159,689.77 : x
  2. Step 2: Convert to fraction form
    280,540.69/387,148.64 = 159,689.77/x
  3. Step 3: Cross multiply
    280,540.69x = 387,148.64 × 159,689.77
  4. Step 4: Simplify right side
    280,540.69x = 61,823,675,511.09
  5. Step 5: Solve for x
    x = 61,823,675,511.09/280,540.69
  6. Step 6: Final answer
    x = 220,373.29

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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.