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Finding the Fourth Proportional to 423,564.76, 635,160.58 and 198,989

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Solution

The fourth proportional to 423,564.76, 635,160.58 and 198,989 is: 298,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,564.76 : 635,160.58 = 198,989 : x
  2. Step 2: Convert to fraction form
    423,564.76/635,160.58 = 198,989/x
  3. Step 3: Cross multiply
    423,564.76x = 635,160.58 × 198,989
  4. Step 4: Simplify right side
    423,564.76x = 126,389,968,653.62
  5. Step 5: Solve for x
    x = 126,389,968,653.62/423,564.76
  6. Step 6: Final answer
    x = 298,395.85

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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.