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Finding the Fourth Proportional to 216,370.98, 298,555.47 and 120,878.46

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Solution

The fourth proportional to 216,370.98, 298,555.47 and 120,878.46 is: 166,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,370.98 : 298,555.47 = 120,878.46 : x
  2. Step 2: Convert to fraction form
    216,370.98/298,555.47 = 120,878.46/x
  3. Step 3: Cross multiply
    216,370.98x = 298,555.47 × 120,878.46
  4. Step 4: Simplify right side
    216,370.98x = 36,088,925,438.18
  5. Step 5: Solve for x
    x = 36,088,925,438.18/216,370.98
  6. Step 6: Final answer
    x = 166,791.89

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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.