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Finding the Fourth Proportional to 296,200.90, 443,610.15 and 290,261.70

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Solution

The fourth proportional to 296,200.90, 443,610.15 and 290,261.70 is: 434,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,200.90 : 443,610.15 = 290,261.70 : x
  2. Step 2: Convert to fraction form
    296,200.90/443,610.15 = 290,261.70/x
  3. Step 3: Cross multiply
    296,200.90x = 443,610.15 × 290,261.70
  4. Step 4: Simplify right side
    296,200.90x = 128,763,036,276.26
  5. Step 5: Solve for x
    x = 128,763,036,276.26/296,200.90
  6. Step 6: Final answer
    x = 434,715.21

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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.