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Finding the Fourth Proportional to 280,862.39, 420,920.98 and 122,918.87

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Solution

The fourth proportional to 280,862.39, 420,920.98 and 122,918.87 is: 184,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,862.39 : 420,920.98 = 122,918.87 : x
  2. Step 2: Convert to fraction form
    280,862.39/420,920.98 = 122,918.87/x
  3. Step 3: Cross multiply
    280,862.39x = 420,920.98 × 122,918.87
  4. Step 4: Simplify right side
    280,862.39x = 51,739,131,220.89
  5. Step 5: Solve for x
    x = 51,739,131,220.89/280,862.39
  6. Step 6: Final answer
    x = 184,215.24

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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.