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Finding the Fourth Proportional to 413,270.70, 618,723.45 and 254,429.70

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Solution

The fourth proportional to 413,270.70, 618,723.45 and 254,429.70 is: 380,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,270.70 : 618,723.45 = 254,429.70 : x
  2. Step 2: Convert to fraction form
    413,270.70/618,723.45 = 254,429.70/x
  3. Step 3: Cross multiply
    413,270.70x = 618,723.45 × 254,429.70
  4. Step 4: Simplify right side
    413,270.70x = 157,421,621,766.47
  5. Step 5: Solve for x
    x = 157,421,621,766.47/413,270.70
  6. Step 6: Final answer
    x = 380,916.48

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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.