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Finding the Fourth Proportional to 377,505.39, 566,316.41 and 137,639.55

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Solution

The fourth proportional to 377,505.39, 566,316.41 and 137,639.55 is: 206,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,505.39 : 566,316.41 = 137,639.55 : x
  2. Step 2: Convert to fraction form
    377,505.39/566,316.41 = 137,639.55/x
  3. Step 3: Cross multiply
    377,505.39x = 566,316.41 × 137,639.55
  4. Step 4: Simplify right side
    377,505.39x = 77,947,535,141.82
  5. Step 5: Solve for x
    x = 77,947,535,141.82/377,505.39
  6. Step 6: Final answer
    x = 206,480.59

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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.