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Finding the Fourth Proportional to 343,877.40, 515,816.10 and 224,305.20

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Solution

The fourth proportional to 343,877.40, 515,816.10 and 224,305.20 is: 336,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877.40 : 515,816.10 = 224,305.20 : x
  2. Step 2: Convert to fraction form
    343,877.40/515,816.10 = 224,305.20/x
  3. Step 3: Cross multiply
    343,877.40x = 515,816.10 × 224,305.20
  4. Step 4: Simplify right side
    343,877.40x = 115,700,233,473.72
  5. Step 5: Solve for x
    x = 115,700,233,473.72/343,877.40
  6. Step 6: Final answer
    x = 336,457.80

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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.