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Finding the Fourth Proportional to 468,644.40, 646,721.28 and 253,782.72

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Solution

The fourth proportional to 468,644.40, 646,721.28 and 253,782.72 is: 350,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,644.40 : 646,721.28 = 253,782.72 : x
  2. Step 2: Convert to fraction form
    468,644.40/646,721.28 = 253,782.72/x
  3. Step 3: Cross multiply
    468,644.40x = 646,721.28 × 253,782.72
  4. Step 4: Simplify right side
    468,644.40x = 164,126,685,520.28
  5. Step 5: Solve for x
    x = 164,126,685,520.28/468,644.40
  6. Step 6: Final answer
    x = 350,215.83

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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.