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Finding the Fourth Proportional to 378,842, 568,267.32 and 112,595.60

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Solution

The fourth proportional to 378,842, 568,267.32 and 112,595.60 is: 168,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,842 : 568,267.32 = 112,595.60 : x
  2. Step 2: Convert to fraction form
    378,842/568,267.32 = 112,595.60/x
  3. Step 3: Cross multiply
    378,842x = 568,267.32 × 112,595.60
  4. Step 4: Simplify right side
    378,842x = 63,984,399,855.79
  5. Step 5: Solve for x
    x = 63,984,399,855.79/378,842
  6. Step 6: Final answer
    x = 168,894.68

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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.