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Finding the Fourth Proportional to 399,421, 551,205.40 and 218,138.28

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Solution

The fourth proportional to 399,421, 551,205.40 and 218,138.28 is: 301,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,421 : 551,205.40 = 218,138.28 : x
  2. Step 2: Convert to fraction form
    399,421/551,205.40 = 218,138.28/x
  3. Step 3: Cross multiply
    399,421x = 551,205.40 × 218,138.28
  4. Step 4: Simplify right side
    399,421x = 120,238,997,882.71
  5. Step 5: Solve for x
    x = 120,238,997,882.71/399,421
  6. Step 6: Final answer
    x = 301,033.24

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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.