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Finding the Fourth Proportional to 340,672.64, 470,024.18 and 197,405

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Solution

The fourth proportional to 340,672.64, 470,024.18 and 197,405 is: 272,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,672.64 : 470,024.18 = 197,405 : x
  2. Step 2: Convert to fraction form
    340,672.64/470,024.18 = 197,405/x
  3. Step 3: Cross multiply
    340,672.64x = 470,024.18 × 197,405
  4. Step 4: Simplify right side
    340,672.64x = 92,785,122,265.88
  5. Step 5: Solve for x
    x = 92,785,122,265.88/340,672.64
  6. Step 6: Final answer
    x = 272,358.60

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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.