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Finding the Fourth Proportional to 523,100, 784,657.30 and 149,123

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Solution

The fourth proportional to 523,100, 784,657.30 and 149,123 is: 223,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,100 : 784,657.30 = 149,123 : x
  2. Step 2: Convert to fraction form
    523,100/784,657.30 = 149,123/x
  3. Step 3: Cross multiply
    523,100x = 784,657.30 × 149,123
  4. Step 4: Simplify right side
    523,100x = 117,010,450,547.90
  5. Step 5: Solve for x
    x = 117,010,450,547.90/523,100
  6. Step 6: Final answer
    x = 223,686.58

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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.