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Finding the Fourth Proportional to 217,380.84, 299,980.92 and 120,569.04

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Solution

The fourth proportional to 217,380.84, 299,980.92 and 120,569.04 is: 166,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,380.84 : 299,980.92 = 120,569.04 : x
  2. Step 2: Convert to fraction form
    217,380.84/299,980.92 = 120,569.04/x
  3. Step 3: Cross multiply
    217,380.84x = 299,980.92 × 120,569.04
  4. Step 4: Simplify right side
    217,380.84x = 36,168,411,542.72
  5. Step 5: Solve for x
    x = 36,168,411,542.72/217,380.84
  6. Step 6: Final answer
    x = 166,382.70

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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.