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Finding the Fourth Proportional to 299,147.85, 411,984.23 and 292,616.01

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Solution

The fourth proportional to 299,147.85, 411,984.23 and 292,616.01 is: 402,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.85 : 411,984.23 = 292,616.01 : x
  2. Step 2: Convert to fraction form
    299,147.85/411,984.23 = 292,616.01/x
  3. Step 3: Cross multiply
    299,147.85x = 411,984.23 × 292,616.01
  4. Step 4: Simplify right side
    299,147.85x = 120,553,180,102.44
  5. Step 5: Solve for x
    x = 120,553,180,102.44/299,147.85
  6. Step 6: Final answer
    x = 402,988.62

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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.