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Finding the Fourth Proportional to 378,430.92, 567,756 and 112,196.52

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Solution

The fourth proportional to 378,430.92, 567,756 and 112,196.52 is: 168,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,430.92 : 567,756 = 112,196.52 : x
  2. Step 2: Convert to fraction form
    378,430.92/567,756 = 112,196.52/x
  3. Step 3: Cross multiply
    378,430.92x = 567,756 × 112,196.52
  4. Step 4: Simplify right side
    378,430.92x = 63,700,247,409.12
  5. Step 5: Solve for x
    x = 63,700,247,409.12/378,430.92
  6. Step 6: Final answer
    x = 168,327.28

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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.