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Finding the Fourth Proportional to 309,558.90, 427,010.28 and 194,655.65

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Solution

The fourth proportional to 309,558.90, 427,010.28 and 194,655.65 is: 268,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,558.90 : 427,010.28 = 194,655.65 : x
  2. Step 2: Convert to fraction form
    309,558.90/427,010.28 = 194,655.65/x
  3. Step 3: Cross multiply
    309,558.90x = 427,010.28 × 194,655.65
  4. Step 4: Simplify right side
    309,558.90x = 83,119,961,475.03
  5. Step 5: Solve for x
    x = 83,119,961,475.03/309,558.90
  6. Step 6: Final answer
    x = 268,510.97

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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.