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Finding the Fourth Proportional to 461,808.15, 637,289.10 and 257,862.48

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Solution

The fourth proportional to 461,808.15, 637,289.10 and 257,862.48 is: 355,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,808.15 : 637,289.10 = 257,862.48 : x
  2. Step 2: Convert to fraction form
    461,808.15/637,289.10 = 257,862.48/x
  3. Step 3: Cross multiply
    461,808.15x = 637,289.10 × 257,862.48
  4. Step 4: Simplify right side
    461,808.15x = 164,332,947,802.97
  5. Step 5: Solve for x
    x = 164,332,947,802.97/461,808.15
  6. Step 6: Final answer
    x = 355,846.79

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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.