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Finding the Fourth Proportional to 287,586.69, 396,805.67 and 165,071.59

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Solution

The fourth proportional to 287,586.69, 396,805.67 and 165,071.59 is: 227,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,586.69 : 396,805.67 = 165,071.59 : x
  2. Step 2: Convert to fraction form
    287,586.69/396,805.67 = 165,071.59/x
  3. Step 3: Cross multiply
    287,586.69x = 396,805.67 × 165,071.59
  4. Step 4: Simplify right side
    287,586.69x = 65,501,341,669.56
  5. Step 5: Solve for x
    x = 65,501,341,669.56/287,586.69
  6. Step 6: Final answer
    x = 227,762.08

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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.