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Finding the Fourth Proportional to 308,694.96, 425,758.68 and 206,688

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Solution

The fourth proportional to 308,694.96, 425,758.68 and 206,688 is: 285,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,694.96 : 425,758.68 = 206,688 : x
  2. Step 2: Convert to fraction form
    308,694.96/425,758.68 = 206,688/x
  3. Step 3: Cross multiply
    308,694.96x = 425,758.68 × 206,688
  4. Step 4: Simplify right side
    308,694.96x = 87,999,210,051.84
  5. Step 5: Solve for x
    x = 87,999,210,051.84/308,694.96
  6. Step 6: Final answer
    x = 285,068.50

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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.