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Finding the Fourth Proportional to 282,508.80, 389,863.20 and 155,186.88

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Solution

The fourth proportional to 282,508.80, 389,863.20 and 155,186.88 is: 214,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,508.80 : 389,863.20 = 155,186.88 : x
  2. Step 2: Convert to fraction form
    282,508.80/389,863.20 = 155,186.88/x
  3. Step 3: Cross multiply
    282,508.80x = 389,863.20 × 155,186.88
  4. Step 4: Simplify right side
    282,508.80x = 60,501,653,634.82
  5. Step 5: Solve for x
    x = 60,501,653,634.82/282,508.80
  6. Step 6: Final answer
    x = 214,158.47

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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.