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Finding the Fourth Proportional to 585,980, 878,448.72 and 211,919.84

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Solution

The fourth proportional to 585,980, 878,448.72 and 211,919.84 is: 317,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,980 : 878,448.72 = 211,919.84 : x
  2. Step 2: Convert to fraction form
    585,980/878,448.72 = 211,919.84/x
  3. Step 3: Cross multiply
    585,980x = 878,448.72 × 211,919.84
  4. Step 4: Simplify right side
    585,980x = 186,160,712,190.61
  5. Step 5: Solve for x
    x = 186,160,712,190.61/585,980
  6. Step 6: Final answer
    x = 317,691.24

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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.