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Finding the Fourth Proportional to 282,435.75, 389,590.18 and 167,638.76

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Solution

The fourth proportional to 282,435.75, 389,590.18 and 167,638.76 is: 231,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,435.75 : 389,590.18 = 167,638.76 : x
  2. Step 2: Convert to fraction form
    282,435.75/389,590.18 = 167,638.76/x
  3. Step 3: Cross multiply
    282,435.75x = 389,590.18 × 167,638.76
  4. Step 4: Simplify right side
    282,435.75x = 65,310,412,316.33
  5. Step 5: Solve for x
    x = 65,310,412,316.33/282,435.75
  6. Step 6: Final answer
    x = 231,239.89

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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.