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Finding the Fourth Proportional to 468,281.09, 646,229.05 and 253,422.71

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Solution

The fourth proportional to 468,281.09, 646,229.05 and 253,422.71 is: 349,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,281.09 : 646,229.05 = 253,422.71 : x
  2. Step 2: Convert to fraction form
    468,281.09/646,229.05 = 253,422.71/x
  3. Step 3: Cross multiply
    468,281.09x = 646,229.05 × 253,422.71
  4. Step 4: Simplify right side
    468,281.09x = 163,769,117,480.19
  5. Step 5: Solve for x
    x = 163,769,117,480.19/468,281.09
  6. Step 6: Final answer
    x = 349,723.96

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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.