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Finding the Fourth Proportional to 378,419.76, 567,592.79 and 153,793.67

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Solution

The fourth proportional to 378,419.76, 567,592.79 and 153,793.67 is: 230,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,419.76 : 567,592.79 = 153,793.67 : x
  2. Step 2: Convert to fraction form
    378,419.76/567,592.79 = 153,793.67/x
  3. Step 3: Cross multiply
    378,419.76x = 567,592.79 × 153,793.67
  4. Step 4: Simplify right side
    378,419.76x = 87,292,174,632.71
  5. Step 5: Solve for x
    x = 87,292,174,632.71/378,419.76
  6. Step 6: Final answer
    x = 230,675.52

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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.