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Finding the Fourth Proportional to 308,037.60, 424,864.44 and 194,751

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Solution

The fourth proportional to 308,037.60, 424,864.44 and 194,751 is: 268,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,037.60 : 424,864.44 = 194,751 : x
  2. Step 2: Convert to fraction form
    308,037.60/424,864.44 = 194,751/x
  3. Step 3: Cross multiply
    308,037.60x = 424,864.44 × 194,751
  4. Step 4: Simplify right side
    308,037.60x = 82,742,774,554.44
  5. Step 5: Solve for x
    x = 82,742,774,554.44/308,037.60
  6. Step 6: Final answer
    x = 268,612.58

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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.