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Finding the Fourth Proportional to 655,864.66, 984,357.75 and 256,785.70

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Solution

The fourth proportional to 655,864.66, 984,357.75 and 256,785.70 is: 385,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,864.66 : 984,357.75 = 256,785.70 : x
  2. Step 2: Convert to fraction form
    655,864.66/984,357.75 = 256,785.70/x
  3. Step 3: Cross multiply
    655,864.66x = 984,357.75 × 256,785.70
  4. Step 4: Simplify right side
    655,864.66x = 252,768,993,884.18
  5. Step 5: Solve for x
    x = 252,768,993,884.18/655,864.66
  6. Step 6: Final answer
    x = 385,398.10

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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.