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Finding the Fourth Proportional to 378,888.30, 568,327.50 and 109,023.48

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Solution

The fourth proportional to 378,888.30, 568,327.50 and 109,023.48 is: 163,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888.30 : 568,327.50 = 109,023.48 : x
  2. Step 2: Convert to fraction form
    378,888.30/568,327.50 = 109,023.48/x
  3. Step 3: Cross multiply
    378,888.30x = 568,327.50 × 109,023.48
  4. Step 4: Simplify right side
    378,888.30x = 61,961,041,829.70
  5. Step 5: Solve for x
    x = 61,961,041,829.70/378,888.30
  6. Step 6: Final answer
    x = 163,533.80

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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.