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Finding the Fourth Proportional to 461,721.36, 637,172.92 and 257,760.48

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Solution

The fourth proportional to 461,721.36, 637,172.92 and 257,760.48 is: 355,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,721.36 : 637,172.92 = 257,760.48 : x
  2. Step 2: Convert to fraction form
    461,721.36/637,172.92 = 257,760.48/x
  3. Step 3: Cross multiply
    461,721.36x = 637,172.92 × 257,760.48
  4. Step 4: Simplify right side
    461,721.36x = 164,237,997,702.20
  5. Step 5: Solve for x
    x = 164,237,997,702.20/461,721.36
  6. Step 6: Final answer
    x = 355,708.04

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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.