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Finding the Fourth Proportional to 340,171.25, 510,572.15 and 171,809.80

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Solution

The fourth proportional to 340,171.25, 510,572.15 and 171,809.80 is: 257,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,171.25 : 510,572.15 = 171,809.80 : x
  2. Step 2: Convert to fraction form
    340,171.25/510,572.15 = 171,809.80/x
  3. Step 3: Cross multiply
    340,171.25x = 510,572.15 × 171,809.80
  4. Step 4: Simplify right side
    340,171.25x = 87,721,298,977.07
  5. Step 5: Solve for x
    x = 87,721,298,977.07/340,171.25
  6. Step 6: Final answer
    x = 257,873.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.