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Finding the Fourth Proportional to 210,397.80, 314,982.30 and 188,279.40

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Solution

The fourth proportional to 210,397.80, 314,982.30 and 188,279.40 is: 281,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,397.80 : 314,982.30 = 188,279.40 : x
  2. Step 2: Convert to fraction form
    210,397.80/314,982.30 = 188,279.40/x
  3. Step 3: Cross multiply
    210,397.80x = 314,982.30 × 188,279.40
  4. Step 4: Simplify right side
    210,397.80x = 59,304,678,454.62
  5. Step 5: Solve for x
    x = 59,304,678,454.62/210,397.80
  6. Step 6: Final answer
    x = 281,869.29

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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.