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Finding the Fourth Proportional to 216,456.30, 298,708.82 and 120,962.98

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Solution

The fourth proportional to 216,456.30, 298,708.82 and 120,962.98 is: 166,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,456.30 : 298,708.82 = 120,962.98 : x
  2. Step 2: Convert to fraction form
    216,456.30/298,708.82 = 120,962.98/x
  3. Step 3: Cross multiply
    216,456.30x = 298,708.82 × 120,962.98
  4. Step 4: Simplify right side
    216,456.30x = 36,132,709,019.48
  5. Step 5: Solve for x
    x = 36,132,709,019.48/216,456.30
  6. Step 6: Final answer
    x = 166,928.42

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1.5x scale

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.