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Finding the Fourth Proportional to 340,423.88, 469,749.30 and 197,230.28

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Solution

The fourth proportional to 340,423.88, 469,749.30 and 197,230.28 is: 272,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,423.88 : 469,749.30 = 197,230.28 : x
  2. Step 2: Convert to fraction form
    340,423.88/469,749.30 = 197,230.28/x
  3. Step 3: Cross multiply
    340,423.88x = 469,749.30 × 197,230.28
  4. Step 4: Simplify right side
    340,423.88x = 92,648,785,968.80
  5. Step 5: Solve for x
    x = 92,648,785,968.80/340,423.88
  6. Step 6: Final answer
    x = 272,157.13

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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.