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Finding the Fourth Proportional to 784,774, 1,177,172.07 and 223,808.50

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Solution

The fourth proportional to 784,774, 1,177,172.07 and 223,808.50 is: 335,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,774 : 1,177,172.07 = 223,808.50 : x
  2. Step 2: Convert to fraction form
    784,774/1,177,172.07 = 223,808.50/x
  3. Step 3: Cross multiply
    784,774x = 1,177,172.07 × 223,808.50
  4. Step 4: Simplify right side
    784,774x = 263,461,115,228.60
  5. Step 5: Solve for x
    x = 263,461,115,228.60/784,774
  6. Step 6: Final answer
    x = 335,715.91

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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.