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Finding the Fourth Proportional to 616,171.20, 922,701.60 and 457,540.80

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Solution

The fourth proportional to 616,171.20, 922,701.60 and 457,540.80 is: 685,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,171.20 : 922,701.60 = 457,540.80 : x
  2. Step 2: Convert to fraction form
    616,171.20/922,701.60 = 457,540.80/x
  3. Step 3: Cross multiply
    616,171.20x = 922,701.60 × 457,540.80
  4. Step 4: Simplify right side
    616,171.20x = 422,173,628,225.28
  5. Step 5: Solve for x
    x = 422,173,628,225.28/616,171.20
  6. Step 6: Final answer
    x = 685,156.38

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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.