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Finding the Fourth Proportional to 310,855.50, 428,996.34 and 183,528.36

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Solution

The fourth proportional to 310,855.50, 428,996.34 and 183,528.36 is: 253,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,855.50 : 428,996.34 = 183,528.36 : x
  2. Step 2: Convert to fraction form
    310,855.50/428,996.34 = 183,528.36/x
  3. Step 3: Cross multiply
    310,855.50x = 428,996.34 × 183,528.36
  4. Step 4: Simplify right side
    310,855.50x = 78,732,994,726.20
  5. Step 5: Solve for x
    x = 78,732,994,726.20/310,855.50
  6. Step 6: Final answer
    x = 253,278.44

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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.