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Finding the Fourth Proportional to 784,953, 1,177,458.12 and 279,551.16

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Solution

The fourth proportional to 784,953, 1,177,458.12 and 279,551.16 is: 419,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,953 : 1,177,458.12 = 279,551.16 : x
  2. Step 2: Convert to fraction form
    784,953/1,177,458.12 = 279,551.16/x
  3. Step 3: Cross multiply
    784,953x = 1,177,458.12 × 279,551.16
  4. Step 4: Simplify right side
    784,953x = 329,159,783,297.42
  5. Step 5: Solve for x
    x = 329,159,783,297.42/784,953
  6. Step 6: Final answer
    x = 419,336.93

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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.