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Finding the Fourth Proportional to 251,821.80, 377,387.10 and 205,165.80

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Solution

The fourth proportional to 251,821.80, 377,387.10 and 205,165.80 is: 307,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,821.80 : 377,387.10 = 205,165.80 : x
  2. Step 2: Convert to fraction form
    251,821.80/377,387.10 = 205,165.80/x
  3. Step 3: Cross multiply
    251,821.80x = 377,387.10 × 205,165.80
  4. Step 4: Simplify right side
    251,821.80x = 77,426,926,281.18
  5. Step 5: Solve for x
    x = 77,426,926,281.18/251,821.80
  6. Step 6: Final answer
    x = 307,467.13

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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.