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Finding the Fourth Proportional to 781,785.84, 1,172,691.11 and 308,467.11

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Solution

The fourth proportional to 781,785.84, 1,172,691.11 and 308,467.11 is: 462,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,785.84 : 1,172,691.11 = 308,467.11 : x
  2. Step 2: Convert to fraction form
    781,785.84/1,172,691.11 = 308,467.11/x
  3. Step 3: Cross multiply
    781,785.84x = 1,172,691.11 × 308,467.11
  4. Step 4: Simplify right side
    781,785.84x = 361,736,637,624.39
  5. Step 5: Solve for x
    x = 361,736,637,624.39/781,785.84
  6. Step 6: Final answer
    x = 462,705.54

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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.