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Finding the Fourth Proportional to 655,854.40, 984,242.40 and 282,145.60

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Solution

The fourth proportional to 655,854.40, 984,242.40 and 282,145.60 is: 423,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,854.40 : 984,242.40 = 282,145.60 : x
  2. Step 2: Convert to fraction form
    655,854.40/984,242.40 = 282,145.60/x
  3. Step 3: Cross multiply
    655,854.40x = 984,242.40 × 282,145.60
  4. Step 4: Simplify right side
    655,854.40x = 277,699,662,493.44
  5. Step 5: Solve for x
    x = 277,699,662,493.44/655,854.40
  6. Step 6: Final answer
    x = 423,416.63

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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.