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Finding the Fourth Proportional to 296,200.40, 443,609.40 and 290,261.20

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Solution

The fourth proportional to 296,200.40, 443,609.40 and 290,261.20 is: 434,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,200.40 : 443,609.40 = 290,261.20 : x
  2. Step 2: Convert to fraction form
    296,200.40/443,609.40 = 290,261.20/x
  3. Step 3: Cross multiply
    296,200.40x = 443,609.40 × 290,261.20
  4. Step 4: Simplify right side
    296,200.40x = 128,762,596,775.28
  5. Step 5: Solve for x
    x = 128,762,596,775.28/296,200.40
  6. Step 6: Final answer
    x = 434,714.46

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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.