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Finding the Fourth Proportional to 292,342.50, 403,432.65 and 158,206.50

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Solution

The fourth proportional to 292,342.50, 403,432.65 and 158,206.50 is: 218,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,342.50 : 403,432.65 = 158,206.50 : x
  2. Step 2: Convert to fraction form
    292,342.50/403,432.65 = 158,206.50/x
  3. Step 3: Cross multiply
    292,342.50x = 403,432.65 × 158,206.50
  4. Step 4: Simplify right side
    292,342.50x = 63,825,667,542.23
  5. Step 5: Solve for x
    x = 63,825,667,542.23/292,342.50
  6. Step 6: Final answer
    x = 218,324.97

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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.