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Finding the Fourth Proportional to 340,912.46, 470,354.94 and 197,643.92

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Solution

The fourth proportional to 340,912.46, 470,354.94 and 197,643.92 is: 272,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,912.46 : 470,354.94 = 197,643.92 : x
  2. Step 2: Convert to fraction form
    340,912.46/470,354.94 = 197,643.92/x
  3. Step 3: Cross multiply
    340,912.46x = 470,354.94 × 197,643.92
  4. Step 4: Simplify right side
    340,912.46x = 92,962,791,781.19
  5. Step 5: Solve for x
    x = 92,962,791,781.19/340,912.46
  6. Step 6: Final answer
    x = 272,688.16

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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.