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Finding the Fourth Proportional to 784,765, 1,177,158.57 and 223,799.50

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Solution

The fourth proportional to 784,765, 1,177,158.57 and 223,799.50 is: 335,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,765 : 1,177,158.57 = 223,799.50 : x
  2. Step 2: Convert to fraction form
    784,765/1,177,158.57 = 223,799.50/x
  3. Step 3: Cross multiply
    784,765x = 1,177,158.57 × 223,799.50
  4. Step 4: Simplify right side
    784,765x = 263,447,499,386.72
  5. Step 5: Solve for x
    x = 263,447,499,386.72/784,765
  6. Step 6: Final answer
    x = 335,702.41

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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.