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Finding the Fourth Proportional to 523,156, 784,741.28 and 149,179

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Solution

The fourth proportional to 523,156, 784,741.28 and 149,179 is: 223,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,156 : 784,741.28 = 149,179 : x
  2. Step 2: Convert to fraction form
    523,156/784,741.28 = 149,179/x
  3. Step 3: Cross multiply
    523,156x = 784,741.28 × 149,179
  4. Step 4: Simplify right side
    523,156x = 117,066,919,409.12
  5. Step 5: Solve for x
    x = 117,066,919,409.12/523,156
  6. Step 6: Final answer
    x = 223,770.58

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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.