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Finding the Fourth Proportional to 304,815.80, 457,223.70 and 262,825.40

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Solution

The fourth proportional to 304,815.80, 457,223.70 and 262,825.40 is: 394,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,815.80 : 457,223.70 = 262,825.40 : x
  2. Step 2: Convert to fraction form
    304,815.80/457,223.70 = 262,825.40/x
  3. Step 3: Cross multiply
    304,815.80x = 457,223.70 × 262,825.40
  4. Step 4: Simplify right side
    304,815.80x = 120,170,001,841.98
  5. Step 5: Solve for x
    x = 120,170,001,841.98/304,815.80
  6. Step 6: Final answer
    x = 394,238.10

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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.