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Finding the Fourth Proportional to 258,447.22, 387,417.72 and 144,650.60

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Solution

The fourth proportional to 258,447.22, 387,417.72 and 144,650.60 is: 216,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,447.22 : 387,417.72 = 144,650.60 : x
  2. Step 2: Convert to fraction form
    258,447.22/387,417.72 = 144,650.60/x
  3. Step 3: Cross multiply
    258,447.22x = 387,417.72 × 144,650.60
  4. Step 4: Simplify right side
    258,447.22x = 56,040,205,648.63
  5. Step 5: Solve for x
    x = 56,040,205,648.63/258,447.22
  6. Step 6: Final answer
    x = 216,834.24

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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.