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Finding the Fourth Proportional to 423,563.76, 635,159.08 and 198,988

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Solution

The fourth proportional to 423,563.76, 635,159.08 and 198,988 is: 298,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,563.76 : 635,159.08 = 198,988 : x
  2. Step 2: Convert to fraction form
    423,563.76/635,159.08 = 198,988/x
  3. Step 3: Cross multiply
    423,563.76x = 635,159.08 × 198,988
  4. Step 4: Simplify right side
    423,563.76x = 126,389,035,011.04
  5. Step 5: Solve for x
    x = 126,389,035,011.04/423,563.76
  6. Step 6: Final answer
    x = 298,394.36

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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.