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Finding the Fourth Proportional to 461,767.71, 637,233.21 and 257,821.76

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Solution

The fourth proportional to 461,767.71, 637,233.21 and 257,821.76 is: 355,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,767.71 : 637,233.21 = 257,821.76 : x
  2. Step 2: Convert to fraction form
    461,767.71/637,233.21 = 257,821.76/x
  3. Step 3: Cross multiply
    461,767.71x = 637,233.21 × 257,821.76
  4. Step 4: Simplify right side
    461,767.71x = 164,292,584,546.48
  5. Step 5: Solve for x
    x = 164,292,584,546.48/461,767.71
  6. Step 6: Final answer
    x = 355,790.54

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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.