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Finding the Fourth Proportional to 340,207.57, 509,065.66 and 321,958.06

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Solution

The fourth proportional to 340,207.57, 509,065.66 and 321,958.06 is: 481,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,207.57 : 509,065.66 = 321,958.06 : x
  2. Step 2: Convert to fraction form
    340,207.57/509,065.66 = 321,958.06/x
  3. Step 3: Cross multiply
    340,207.57x = 509,065.66 × 321,958.06
  4. Step 4: Simplify right side
    340,207.57x = 163,897,792,306.22
  5. Step 5: Solve for x
    x = 163,897,792,306.22/340,207.57
  6. Step 6: Final answer
    x = 481,758.22

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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.