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Finding the Fourth Proportional to 378,078.40, 567,117.60 and 284,766.40

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Solution

The fourth proportional to 378,078.40, 567,117.60 and 284,766.40 is: 427,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,078.40 : 567,117.60 = 284,766.40 : x
  2. Step 2: Convert to fraction form
    378,078.40/567,117.60 = 284,766.40/x
  3. Step 3: Cross multiply
    378,078.40x = 567,117.60 × 284,766.40
  4. Step 4: Simplify right side
    378,078.40x = 161,496,037,328.64
  5. Step 5: Solve for x
    x = 161,496,037,328.64/378,078.40
  6. Step 6: Final answer
    x = 427,149.60

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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.