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Finding the Fourth Proportional to 523,098, 784,654.29 and 149,121

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Solution

The fourth proportional to 523,098, 784,654.29 and 149,121 is: 223,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,098 : 784,654.29 = 149,121 : x
  2. Step 2: Convert to fraction form
    523,098/784,654.29 = 149,121/x
  3. Step 3: Cross multiply
    523,098x = 784,654.29 × 149,121
  4. Step 4: Simplify right side
    523,098x = 117,008,432,379.09
  5. Step 5: Solve for x
    x = 117,008,432,379.09/523,098
  6. Step 6: Final answer
    x = 223,683.58

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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.