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Finding the Fourth Proportional to 361,775.25, 542,988.10 and 193,439.47

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Solution

The fourth proportional to 361,775.25, 542,988.10 and 193,439.47 is: 290,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,775.25 : 542,988.10 = 193,439.47 : x
  2. Step 2: Convert to fraction form
    361,775.25/542,988.10 = 193,439.47/x
  3. Step 3: Cross multiply
    361,775.25x = 542,988.10 × 193,439.47
  4. Step 4: Simplify right side
    361,775.25x = 105,035,329,131.63
  5. Step 5: Solve for x
    x = 105,035,329,131.63/361,775.25
  6. Step 6: Final answer
    x = 290,333.10

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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.