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Finding the Fourth Proportional to 442,720.47, 610,951.39 and 251,733.84

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Solution

The fourth proportional to 442,720.47, 610,951.39 and 251,733.84 is: 347,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,720.47 : 610,951.39 = 251,733.84 : x
  2. Step 2: Convert to fraction form
    442,720.47/610,951.39 = 251,733.84/x
  3. Step 3: Cross multiply
    442,720.47x = 610,951.39 × 251,733.84
  4. Step 4: Simplify right side
    442,720.47x = 153,797,139,458.04
  5. Step 5: Solve for x
    x = 153,797,139,458.04/442,720.47
  6. Step 6: Final answer
    x = 347,391.07

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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.