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Finding the Fourth Proportional to 474,642.48, 711,873 and 142,218.48

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Solution

The fourth proportional to 474,642.48, 711,873 and 142,218.48 is: 213,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,642.48 : 711,873 = 142,218.48 : x
  2. Step 2: Convert to fraction form
    474,642.48/711,873 = 142,218.48/x
  3. Step 3: Cross multiply
    474,642.48x = 711,873 × 142,218.48
  4. Step 4: Simplify right side
    474,642.48x = 101,241,496,013.04
  5. Step 5: Solve for x
    x = 101,241,496,013.04/474,642.48
  6. Step 6: Final answer
    x = 213,300.54

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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.