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Finding the Fourth Proportional to 280,540.47, 387,148.32 and 159,689.54

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Solution

The fourth proportional to 280,540.47, 387,148.32 and 159,689.54 is: 220,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,540.47 : 387,148.32 = 159,689.54 : x
  2. Step 2: Convert to fraction form
    280,540.47/387,148.32 = 159,689.54/x
  3. Step 3: Cross multiply
    280,540.47x = 387,148.32 × 159,689.54
  4. Step 4: Simplify right side
    280,540.47x = 61,823,535,196.83
  5. Step 5: Solve for x
    x = 61,823,535,196.83/280,540.47
  6. Step 6: Final answer
    x = 220,372.97

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1.5x scale

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.