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Finding the Fourth Proportional to 378,881.30, 567,829.87 and 153,980.03

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Solution

The fourth proportional to 378,881.30, 567,829.87 and 153,980.03 is: 230,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,881.30 : 567,829.87 = 153,980.03 : x
  2. Step 2: Convert to fraction form
    378,881.30/567,829.87 = 153,980.03/x
  3. Step 3: Cross multiply
    378,881.30x = 567,829.87 × 153,980.03
  4. Step 4: Simplify right side
    378,881.30x = 87,434,461,452.12
  5. Step 5: Solve for x
    x = 87,434,461,452.12/378,881.30
  6. Step 6: Final answer
    x = 230,770.06

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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.