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Finding the Fourth Proportional to 402,003.80, 602,487.30 and 191,187.80

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Solution

The fourth proportional to 402,003.80, 602,487.30 and 191,187.80 is: 286,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,003.80 : 602,487.30 = 191,187.80 : x
  2. Step 2: Convert to fraction form
    402,003.80/602,487.30 = 191,187.80/x
  3. Step 3: Cross multiply
    402,003.80x = 602,487.30 × 191,187.80
  4. Step 4: Simplify right side
    402,003.80x = 115,188,221,414.94
  5. Step 5: Solve for x
    x = 115,188,221,414.94/402,003.80
  6. Step 6: Final answer
    x = 286,535.16

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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.