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Finding the Fourth Proportional to 308,068.77, 462,155.70 and 137,352.42

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Solution

The fourth proportional to 308,068.77, 462,155.70 and 137,352.42 is: 206,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,068.77 : 462,155.70 = 137,352.42 : x
  2. Step 2: Convert to fraction form
    308,068.77/462,155.70 = 137,352.42/x
  3. Step 3: Cross multiply
    308,068.77x = 462,155.70 × 137,352.42
  4. Step 4: Simplify right side
    308,068.77x = 63,478,203,811.79
  5. Step 5: Solve for x
    x = 63,478,203,811.79/308,068.77
  6. Step 6: Final answer
    x = 206,052.06

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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.