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Finding the Fourth Proportional to 578,222.64, 866,835.09 and 278,290.58

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Solution

The fourth proportional to 578,222.64, 866,835.09 and 278,290.58 is: 417,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,222.64 : 866,835.09 = 278,290.58 : x
  2. Step 2: Convert to fraction form
    578,222.64/866,835.09 = 278,290.58/x
  3. Step 3: Cross multiply
    578,222.64x = 866,835.09 × 278,290.58
  4. Step 4: Simplify right side
    578,222.64x = 241,232,035,626.28
  5. Step 5: Solve for x
    x = 241,232,035,626.28/578,222.64
  6. Step 6: Final answer
    x = 417,195.76

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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.