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Finding the Fourth Proportional to 280,540.77, 387,148.73 and 159,689.84

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Solution

The fourth proportional to 280,540.77, 387,148.73 and 159,689.84 is: 220,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,540.77 : 387,148.73 = 159,689.84 : x
  2. Step 2: Convert to fraction form
    280,540.77/387,148.73 = 159,689.84/x
  3. Step 3: Cross multiply
    280,540.77x = 387,148.73 × 159,689.84
  4. Step 4: Simplify right side
    280,540.77x = 61,823,718,749.90
  5. Step 5: Solve for x
    x = 61,823,718,749.90/280,540.77
  6. Step 6: Final answer
    x = 220,373.38

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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.