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Finding the Fourth Proportional to 523,182, 784,780.38 and 149,205

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Solution

The fourth proportional to 523,182, 784,780.38 and 149,205 is: 223,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,182 : 784,780.38 = 149,205 : x
  2. Step 2: Convert to fraction form
    523,182/784,780.38 = 149,205/x
  3. Step 3: Cross multiply
    523,182x = 784,780.38 × 149,205
  4. Step 4: Simplify right side
    523,182x = 117,093,156,597.90
  5. Step 5: Solve for x
    x = 117,093,156,597.90/523,182
  6. Step 6: Final answer
    x = 223,809.60

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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.