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Finding the Fourth Proportional to 785,864, 1,178,796 and 287,228

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Solution

The fourth proportional to 785,864, 1,178,796 and 287,228 is: 430,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,864 : 1,178,796 = 287,228 : x
  2. Step 2: Convert to fraction form
    785,864/1,178,796 = 287,228/x
  3. Step 3: Cross multiply
    785,864x = 1,178,796 × 287,228
  4. Step 4: Simplify right side
    785,864x = 338,583,217,488
  5. Step 5: Solve for x
    x = 338,583,217,488/785,864
  6. Step 6: Final answer
    x = 430,842

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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.