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Finding the Fourth Proportional to 309,697.76, 427,357.28 and 173,712.80

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Solution

The fourth proportional to 309,697.76, 427,357.28 and 173,712.80 is: 239,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,697.76 : 427,357.28 = 173,712.80 : x
  2. Step 2: Convert to fraction form
    309,697.76/427,357.28 = 173,712.80/x
  3. Step 3: Cross multiply
    309,697.76x = 427,357.28 × 173,712.80
  4. Step 4: Simplify right side
    309,697.76x = 74,237,429,709.18
  5. Step 5: Solve for x
    x = 74,237,429,709.18/309,697.76
  6. Step 6: Final answer
    x = 239,709.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.