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Finding the Fourth Proportional to 378,002.60, 567,878.70 and 259,904.60

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Solution

The fourth proportional to 378,002.60, 567,878.70 and 259,904.60 is: 390,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,002.60 : 567,878.70 = 259,904.60 : x
  2. Step 2: Convert to fraction form
    378,002.60/567,878.70 = 259,904.60/x
  3. Step 3: Cross multiply
    378,002.60x = 567,878.70 × 259,904.60
  4. Step 4: Simplify right side
    378,002.60x = 147,594,286,372.02
  5. Step 5: Solve for x
    x = 147,594,286,372.02/378,002.60
  6. Step 6: Final answer
    x = 390,458.39

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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.