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Finding the Fourth Proportional to 493,155.76, 739,740.95 and 138,147.34

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Solution

The fourth proportional to 493,155.76, 739,740.95 and 138,147.34 is: 207,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,155.76 : 739,740.95 = 138,147.34 : x
  2. Step 2: Convert to fraction form
    493,155.76/739,740.95 = 138,147.34/x
  3. Step 3: Cross multiply
    493,155.76x = 739,740.95 × 138,147.34
  4. Step 4: Simplify right side
    493,155.76x = 102,193,244,673.63
  5. Step 5: Solve for x
    x = 102,193,244,673.63/493,155.76
  6. Step 6: Final answer
    x = 207,223.06

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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.