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Finding the Fourth Proportional to 304,953.46, 457,433.83 and 145,046.40

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Solution

The fourth proportional to 304,953.46, 457,433.83 and 145,046.40 is: 217,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,953.46 : 457,433.83 = 145,046.40 : x
  2. Step 2: Convert to fraction form
    304,953.46/457,433.83 = 145,046.40/x
  3. Step 3: Cross multiply
    304,953.46x = 457,433.83 × 145,046.40
  4. Step 4: Simplify right side
    304,953.46x = 66,349,128,745.64
  5. Step 5: Solve for x
    x = 66,349,128,745.64/304,953.46
  6. Step 6: Final answer
    x = 217,571.33

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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.