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Finding the Fourth Proportional to 585,983, 878,453.22 and 211,922.84

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Solution

The fourth proportional to 585,983, 878,453.22 and 211,922.84 is: 317,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,983 : 878,453.22 = 211,922.84 : x
  2. Step 2: Convert to fraction form
    585,983/878,453.22 = 211,922.84/x
  3. Step 3: Cross multiply
    585,983x = 878,453.22 × 211,922.84
  4. Step 4: Simplify right side
    585,983x = 186,164,301,189.55
  5. Step 5: Solve for x
    x = 186,164,301,189.55/585,983
  6. Step 6: Final answer
    x = 317,695.74

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1.5x scale

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.