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Finding the Fourth Proportional to 386,732.84, 580,075.80 and 229,958.96

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Solution

The fourth proportional to 386,732.84, 580,075.80 and 229,958.96 is: 344,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,732.84 : 580,075.80 = 229,958.96 : x
  2. Step 2: Convert to fraction form
    386,732.84/580,075.80 = 229,958.96/x
  3. Step 3: Cross multiply
    386,732.84x = 580,075.80 × 229,958.96
  4. Step 4: Simplify right side
    386,732.84x = 133,393,627,689.17
  5. Step 5: Solve for x
    x = 133,393,627,689.17/386,732.84
  6. Step 6: Final answer
    x = 344,924.49

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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.