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Finding the Fourth Proportional to 340,904.59, 470,451.38 and 187,948.21

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Solution

The fourth proportional to 340,904.59, 470,451.38 and 187,948.21 is: 259,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,904.59 : 470,451.38 = 187,948.21 : x
  2. Step 2: Convert to fraction form
    340,904.59/470,451.38 = 187,948.21/x
  3. Step 3: Cross multiply
    340,904.59x = 470,451.38 × 187,948.21
  4. Step 4: Simplify right side
    340,904.59x = 88,420,494,763.03
  5. Step 5: Solve for x
    x = 88,420,494,763.03/340,904.59
  6. Step 6: Final answer
    x = 259,370.21

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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.