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Finding the Fourth Proportional to 340,761.62, 470,254.20 and 187,805.40

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Solution

The fourth proportional to 340,761.62, 470,254.20 and 187,805.40 is: 259,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,761.62 : 470,254.20 = 187,805.40 : x
  2. Step 2: Convert to fraction form
    340,761.62/470,254.20 = 187,805.40/x
  3. Step 3: Cross multiply
    340,761.62x = 470,254.20 × 187,805.40
  4. Step 4: Simplify right side
    340,761.62x = 88,316,278,132.68
  5. Step 5: Solve for x
    x = 88,316,278,132.68/340,761.62
  6. Step 6: Final answer
    x = 259,173.20

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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.