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Finding the Fourth Proportional to 309,480.74, 427,159.40 and 188,688.64

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Solution

The fourth proportional to 309,480.74, 427,159.40 and 188,688.64 is: 260,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,480.74 : 427,159.40 = 188,688.64 : x
  2. Step 2: Convert to fraction form
    309,480.74/427,159.40 = 188,688.64/x
  3. Step 3: Cross multiply
    309,480.74x = 427,159.40 × 188,688.64
  4. Step 4: Simplify right side
    309,480.74x = 80,600,123,169.98
  5. Step 5: Solve for x
    x = 80,600,123,169.98/309,480.74
  6. Step 6: Final answer
    x = 260,436.64

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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.