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Finding the Fourth Proportional to 290,814.80, 401,320.50 and 163,490.36

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Solution

The fourth proportional to 290,814.80, 401,320.50 and 163,490.36 is: 225,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,814.80 : 401,320.50 = 163,490.36 : x
  2. Step 2: Convert to fraction form
    290,814.80/401,320.50 = 163,490.36/x
  3. Step 3: Cross multiply
    290,814.80x = 401,320.50 × 163,490.36
  4. Step 4: Simplify right side
    290,814.80x = 65,612,031,013.78
  5. Step 5: Solve for x
    x = 65,612,031,013.78/290,814.80
  6. Step 6: Final answer
    x = 225,614.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.