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Finding the Fourth Proportional to 430,080.20, 644,342.70 and 367,872.20

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Solution

The fourth proportional to 430,080.20, 644,342.70 and 367,872.20 is: 551,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,080.20 : 644,342.70 = 367,872.20 : x
  2. Step 2: Convert to fraction form
    430,080.20/644,342.70 = 367,872.20/x
  3. Step 3: Cross multiply
    430,080.20x = 644,342.70 × 367,872.20
  4. Step 4: Simplify right side
    430,080.20x = 237,035,766,602.94
  5. Step 5: Solve for x
    x = 237,035,766,602.94/430,080.20
  6. Step 6: Final answer
    x = 551,143.17

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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.