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Finding the Fourth Proportional to 340,912.32, 470,354.74 and 197,643.78

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Solution

The fourth proportional to 340,912.32, 470,354.74 and 197,643.78 is: 272,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,912.32 : 470,354.74 = 197,643.78 : x
  2. Step 2: Convert to fraction form
    340,912.32/470,354.74 = 197,643.78/x
  3. Step 3: Cross multiply
    340,912.32x = 470,354.74 × 197,643.78
  4. Step 4: Simplify right side
    340,912.32x = 92,962,688,754.52
  5. Step 5: Solve for x
    x = 92,962,688,754.52/340,912.32
  6. Step 6: Final answer
    x = 272,687.97

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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.