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Finding the Fourth Proportional to 340,842, 470,342.40 and 195,617.04

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Solution

The fourth proportional to 340,842, 470,342.40 and 195,617.04 is: 269,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,842 : 470,342.40 = 195,617.04 : x
  2. Step 2: Convert to fraction form
    340,842/470,342.40 = 195,617.04/x
  3. Step 3: Cross multiply
    340,842x = 470,342.40 × 195,617.04
  4. Step 4: Simplify right side
    340,842x = 92,006,988,074.50
  5. Step 5: Solve for x
    x = 92,006,988,074.50/340,842
  6. Step 6: Final answer
    x = 269,940.29

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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.