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Finding the Fourth Proportional to 216,178.91, 298,329.85 and 119,389.30

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Solution

The fourth proportional to 216,178.91, 298,329.85 and 119,389.30 is: 164,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178.91 : 298,329.85 = 119,389.30 : x
  2. Step 2: Convert to fraction form
    216,178.91/298,329.85 = 119,389.30/x
  3. Step 3: Cross multiply
    216,178.91x = 298,329.85 × 119,389.30
  4. Step 4: Simplify right side
    216,178.91x = 35,617,391,364.02
  5. Step 5: Solve for x
    x = 35,617,391,364.02/216,178.91
  6. Step 6: Final answer
    x = 164,758.86

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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.