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Finding the Fourth Proportional to 304,584.84, 456,377.90 and 215,678.77

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Solution

The fourth proportional to 304,584.84, 456,377.90 and 215,678.77 is: 323,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,584.84 : 456,377.90 = 215,678.77 : x
  2. Step 2: Convert to fraction form
    304,584.84/456,377.90 = 215,678.77/x
  3. Step 3: Cross multiply
    304,584.84x = 456,377.90 × 215,678.77
  4. Step 4: Simplify right side
    304,584.84x = 98,431,021,907.84
  5. Step 5: Solve for x
    x = 98,431,021,907.84/304,584.84
  6. Step 6: Final answer
    x = 323,164.55

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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.