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Finding the Fourth Proportional to 340,915.71, 470,359.40 and 197,647.15

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Solution

The fourth proportional to 340,915.71, 470,359.40 and 197,647.15 is: 272,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,915.71 : 470,359.40 = 197,647.15 : x
  2. Step 2: Convert to fraction form
    340,915.71/470,359.40 = 197,647.15/x
  3. Step 3: Cross multiply
    340,915.71x = 470,359.40 × 197,647.15
  4. Step 4: Simplify right side
    340,915.71x = 92,965,194,885.71
  5. Step 5: Solve for x
    x = 92,965,194,885.71/340,915.71
  6. Step 6: Final answer
    x = 272,692.61

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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.