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Finding the Fourth Proportional to 616,129.20, 922,638.60 and 457,498.80

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Solution

The fourth proportional to 616,129.20, 922,638.60 and 457,498.80 is: 685,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,129.20 : 922,638.60 = 457,498.80 : x
  2. Step 2: Convert to fraction form
    616,129.20/922,638.60 = 457,498.80/x
  3. Step 3: Cross multiply
    616,129.20x = 922,638.60 × 457,498.80
  4. Step 4: Simplify right side
    616,129.20x = 422,106,052,333.68
  5. Step 5: Solve for x
    x = 422,106,052,333.68/616,129.20
  6. Step 6: Final answer
    x = 685,093.41

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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.