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Finding the Fourth Proportional to 282,430.14, 389,659.71 and 167,743.86

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Solution

The fourth proportional to 282,430.14, 389,659.71 and 167,743.86 is: 231,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,430.14 : 389,659.71 = 167,743.86 : x
  2. Step 2: Convert to fraction form
    282,430.14/389,659.71 = 167,743.86/x
  3. Step 3: Cross multiply
    282,430.14x = 389,659.71 × 167,743.86
  4. Step 4: Simplify right side
    282,430.14x = 65,363,023,841.88
  5. Step 5: Solve for x
    x = 65,363,023,841.88/282,430.14
  6. Step 6: Final answer
    x = 231,430.77

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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.