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Finding the Fourth Proportional to 543,658.42, 750,257.90 and 298,653.50

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Solution

The fourth proportional to 543,658.42, 750,257.90 and 298,653.50 is: 412,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,658.42 : 750,257.90 = 298,653.50 : x
  2. Step 2: Convert to fraction form
    543,658.42/750,257.90 = 298,653.50/x
  3. Step 3: Cross multiply
    543,658.42x = 750,257.90 × 298,653.50
  4. Step 4: Simplify right side
    543,658.42x = 224,067,147,737.65
  5. Step 5: Solve for x
    x = 224,067,147,737.65/543,658.42
  6. Step 6: Final answer
    x = 412,146.93

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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.