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Finding the Fourth Proportional to 863,728.32, 1,286,727.90 and 824,866.84

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Solution

The fourth proportional to 863,728.32, 1,286,727.90 and 824,866.84 is: 1,228,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,728.32 : 1,286,727.90 = 824,866.84 : x
  2. Step 2: Convert to fraction form
    863,728.32/1,286,727.90 = 824,866.84/x
  3. Step 3: Cross multiply
    863,728.32x = 1,286,727.90 × 824,866.84
  4. Step 4: Simplify right side
    863,728.32x = 1,061,379,176,812.84
  5. Step 5: Solve for x
    x = 1,061,379,176,812.84/863,728.32
  6. Step 6: Final answer
    x = 1,228,834.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.