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Finding the Fourth Proportional to 323,513, 446,452.80 and 187,557.20

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Solution

The fourth proportional to 323,513, 446,452.80 and 187,557.20 is: 258,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,513 : 446,452.80 = 187,557.20 : x
  2. Step 2: Convert to fraction form
    323,513/446,452.80 = 187,557.20/x
  3. Step 3: Cross multiply
    323,513x = 446,452.80 × 187,557.20
  4. Step 4: Simplify right side
    323,513x = 83,735,437,100.16
  5. Step 5: Solve for x
    x = 83,735,437,100.16/323,513
  6. Step 6: Final answer
    x = 258,831.75

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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.