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Finding the Fourth Proportional to 784,818, 1,177,238.10 and 223,852.50

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Solution

The fourth proportional to 784,818, 1,177,238.10 and 223,852.50 is: 335,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,818 : 1,177,238.10 = 223,852.50 : x
  2. Step 2: Convert to fraction form
    784,818/1,177,238.10 = 223,852.50/x
  3. Step 3: Cross multiply
    784,818x = 1,177,238.10 × 223,852.50
  4. Step 4: Simplify right side
    784,818x = 263,527,691,780.25
  5. Step 5: Solve for x
    x = 263,527,691,780.25/784,818
  6. Step 6: Final answer
    x = 335,781.92

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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.