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Finding the Fourth Proportional to 305,391.67, 458,240.29 and 137,032.36

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Solution

The fourth proportional to 305,391.67, 458,240.29 and 137,032.36 is: 205,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,391.67 : 458,240.29 = 137,032.36 : x
  2. Step 2: Convert to fraction form
    305,391.67/458,240.29 = 137,032.36/x
  3. Step 3: Cross multiply
    305,391.67x = 458,240.29 × 137,032.36
  4. Step 4: Simplify right side
    305,391.67x = 62,793,746,897.60
  5. Step 5: Solve for x
    x = 62,793,746,897.60/305,391.67
  6. Step 6: Final answer
    x = 205,617.09

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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.