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Finding the Fourth Proportional to 210,660.80, 315,376.80 and 188,542.40

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Solution

The fourth proportional to 210,660.80, 315,376.80 and 188,542.40 is: 282,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,660.80 : 315,376.80 = 188,542.40 : x
  2. Step 2: Convert to fraction form
    210,660.80/315,376.80 = 188,542.40/x
  3. Step 3: Cross multiply
    210,660.80x = 315,376.80 × 188,542.40
  4. Step 4: Simplify right side
    210,660.80x = 59,461,898,776.32
  5. Step 5: Solve for x
    x = 59,461,898,776.32/210,660.80
  6. Step 6: Final answer
    x = 282,263.71

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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.