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Finding the Fourth Proportional to 213,081.40, 319,967.70 and 154,329.40

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Solution

The fourth proportional to 213,081.40, 319,967.70 and 154,329.40 is: 231,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,081.40 : 319,967.70 = 154,329.40 : x
  2. Step 2: Convert to fraction form
    213,081.40/319,967.70 = 154,329.40/x
  3. Step 3: Cross multiply
    213,081.40x = 319,967.70 × 154,329.40
  4. Step 4: Simplify right side
    213,081.40x = 49,380,423,160.38
  5. Step 5: Solve for x
    x = 49,380,423,160.38/213,081.40
  6. Step 6: Final answer
    x = 231,744.41

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1.5x scale

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.