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Finding the Fourth Proportional to 469,397.30, 647,756.80 and 254,531.84

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Solution

The fourth proportional to 469,397.30, 647,756.80 and 254,531.84 is: 351,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,397.30 : 647,756.80 = 254,531.84 : x
  2. Step 2: Convert to fraction form
    469,397.30/647,756.80 = 254,531.84/x
  3. Step 3: Cross multiply
    469,397.30x = 647,756.80 × 254,531.84
  4. Step 4: Simplify right side
    469,397.30x = 164,874,726,301.40
  5. Step 5: Solve for x
    x = 164,874,726,301.40/469,397.30
  6. Step 6: Final answer
    x = 351,247.71

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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.