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Finding the Fourth Proportional to 409,164, 613,753.68 and 113,683.68

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Solution

The fourth proportional to 409,164, 613,753.68 and 113,683.68 is: 170,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,164 : 613,753.68 = 113,683.68 : x
  2. Step 2: Convert to fraction form
    409,164/613,753.68 = 113,683.68/x
  3. Step 3: Cross multiply
    409,164x = 613,753.68 × 113,683.68
  4. Step 4: Simplify right side
    409,164x = 69,773,776,955.94
  5. Step 5: Solve for x
    x = 69,773,776,955.94/409,164
  6. Step 6: Final answer
    x = 170,527.65

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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.