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Finding the Fourth Proportional to 282,054.60, 422,684.10 and 155,751.71

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Solution

The fourth proportional to 282,054.60, 422,684.10 and 155,751.71 is: 233,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,054.60 : 422,684.10 = 155,751.71 : x
  2. Step 2: Convert to fraction form
    282,054.60/422,684.10 = 155,751.71/x
  3. Step 3: Cross multiply
    282,054.60x = 422,684.10 × 155,751.71
  4. Step 4: Simplify right side
    282,054.60x = 65,833,769,251.39
  5. Step 5: Solve for x
    x = 65,833,769,251.39/282,054.60
  6. Step 6: Final answer
    x = 233,407.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.