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Finding the Fourth Proportional to 398,740.65, 550,261.75 and 217,452.93

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Solution

The fourth proportional to 398,740.65, 550,261.75 and 217,452.93 is: 300,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,740.65 : 550,261.75 = 217,452.93 : x
  2. Step 2: Convert to fraction form
    398,740.65/550,261.75 = 217,452.93/x
  3. Step 3: Cross multiply
    398,740.65x = 550,261.75 × 217,452.93
  4. Step 4: Simplify right side
    398,740.65x = 119,656,029,804.43
  5. Step 5: Solve for x
    x = 119,656,029,804.43/398,740.65
  6. Step 6: Final answer
    x = 300,084.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.