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Finding the Fourth Proportional to 457,095.48, 631,007.22 and 304,387.80

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Solution

The fourth proportional to 457,095.48, 631,007.22 and 304,387.80 is: 420,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,095.48 : 631,007.22 = 304,387.80 : x
  2. Step 2: Convert to fraction form
    457,095.48/631,007.22 = 304,387.80/x
  3. Step 3: Cross multiply
    457,095.48x = 631,007.22 × 304,387.80
  4. Step 4: Simplify right side
    457,095.48x = 192,070,899,479.92
  5. Step 5: Solve for x
    x = 192,070,899,479.92/457,095.48
  6. Step 6: Final answer
    x = 420,198.64

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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.