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Finding the Fourth Proportional to 401,679.86, 602,517.18 and 102,157.86

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Solution

The fourth proportional to 401,679.86, 602,517.18 and 102,157.86 is: 153,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,679.86 : 602,517.18 = 102,157.86 : x
  2. Step 2: Convert to fraction form
    401,679.86/602,517.18 = 102,157.86/x
  3. Step 3: Cross multiply
    401,679.86x = 602,517.18 × 102,157.86
  4. Step 4: Simplify right side
    401,679.86x = 61,551,864,975.41
  5. Step 5: Solve for x
    x = 61,551,864,975.41/401,679.86
  6. Step 6: Final answer
    x = 153,236.12

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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.