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Finding the Fourth Proportional to 981,880, 1,472,837.92 and 307,946.24

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Solution

The fourth proportional to 981,880, 1,472,837.92 and 307,946.24 is: 461,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,880 : 1,472,837.92 = 307,946.24 : x
  2. Step 2: Convert to fraction form
    981,880/1,472,837.92 = 307,946.24/x
  3. Step 3: Cross multiply
    981,880x = 1,472,837.92 × 307,946.24
  4. Step 4: Simplify right side
    981,880x = 453,554,899,593.42
  5. Step 5: Solve for x
    x = 453,554,899,593.42/981,880
  6. Step 6: Final answer
    x = 461,924.98

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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.