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Finding the Fourth Proportional to 210,648.80, 315,358.80 and 188,530.40

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Solution

The fourth proportional to 210,648.80, 315,358.80 and 188,530.40 is: 282,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,648.80 : 315,358.80 = 188,530.40 : x
  2. Step 2: Convert to fraction form
    210,648.80/315,358.80 = 188,530.40/x
  3. Step 3: Cross multiply
    210,648.80x = 315,358.80 × 188,530.40
  4. Step 4: Simplify right side
    210,648.80x = 59,454,720,707.52
  5. Step 5: Solve for x
    x = 59,454,720,707.52/210,648.80
  6. Step 6: Final answer
    x = 282,245.71

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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.