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Finding the Fourth Proportional to 210,426.48, 315,640.56 and 52,654.48

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Solution

The fourth proportional to 210,426.48, 315,640.56 and 52,654.48 is: 78,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,426.48 : 315,640.56 = 52,654.48 : x
  2. Step 2: Convert to fraction form
    210,426.48/315,640.56 = 52,654.48/x
  3. Step 3: Cross multiply
    210,426.48x = 315,640.56 × 52,654.48
  4. Step 4: Simplify right side
    210,426.48x = 16,619,889,553.71
  5. Step 5: Solve for x
    x = 16,619,889,553.71/210,426.48
  6. Step 6: Final answer
    x = 78,981.93

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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.