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Finding the Fourth Proportional to 343,638, 474,427.80 and 224,613.36

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Solution

The fourth proportional to 343,638, 474,427.80 and 224,613.36 is: 310,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,638 : 474,427.80 = 224,613.36 : x
  2. Step 2: Convert to fraction form
    343,638/474,427.80 = 224,613.36/x
  3. Step 3: Cross multiply
    343,638x = 474,427.80 × 224,613.36
  4. Step 4: Simplify right side
    343,638x = 106,562,822,235.41
  5. Step 5: Solve for x
    x = 106,562,822,235.41/343,638
  6. Step 6: Final answer
    x = 310,101.97

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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.