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Finding the Fourth Proportional to 340,712.06, 470,209.20 and 187,777.67

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Solution

The fourth proportional to 340,712.06, 470,209.20 and 187,777.67 is: 259,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,712.06 : 470,209.20 = 187,777.67 : x
  2. Step 2: Convert to fraction form
    340,712.06/470,209.20 = 187,777.67/x
  3. Step 3: Cross multiply
    340,712.06x = 470,209.20 × 187,777.67
  4. Step 4: Simplify right side
    340,712.06x = 88,294,787,988.56
  5. Step 5: Solve for x
    x = 88,294,787,988.56/340,712.06
  6. Step 6: Final answer
    x = 259,147.82

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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.