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Finding the Fourth Proportional to 280,536.92, 387,143.42 and 159,686.00

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Solution

The fourth proportional to 280,536.92, 387,143.42 and 159,686.00 is: 220,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,536.92 : 387,143.42 = 159,686.00 : x
  2. Step 2: Convert to fraction form
    280,536.92/387,143.42 = 159,686.00/x
  3. Step 3: Cross multiply
    280,536.92x = 387,143.42 × 159,686.00
  4. Step 4: Simplify right side
    280,536.92x = 61,821,381,431.97
  5. Step 5: Solve for x
    x = 61,821,381,431.97/280,536.92
  6. Step 6: Final answer
    x = 220,368.08

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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.