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Finding the Fourth Proportional to 289,564.38, 434,358.72 and 79,201.98

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Solution

The fourth proportional to 289,564.38, 434,358.72 and 79,201.98 is: 118,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,564.38 : 434,358.72 = 79,201.98 : x
  2. Step 2: Convert to fraction form
    289,564.38/434,358.72 = 79,201.98/x
  3. Step 3: Cross multiply
    289,564.38x = 434,358.72 × 79,201.98
  4. Step 4: Simplify right side
    289,564.38x = 34,402,070,654.27
  5. Step 5: Solve for x
    x = 34,402,070,654.27/289,564.38
  6. Step 6: Final answer
    x = 118,806.29

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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.