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Finding the Fourth Proportional to 343,685.82, 515,692.80 and 166,094.13

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Solution

The fourth proportional to 343,685.82, 515,692.80 and 166,094.13 is: 249,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,685.82 : 515,692.80 = 166,094.13 : x
  2. Step 2: Convert to fraction form
    343,685.82/515,692.80 = 166,094.13/x
  3. Step 3: Cross multiply
    343,685.82x = 515,692.80 × 166,094.13
  4. Step 4: Simplify right side
    343,685.82x = 85,653,546,963.26
  5. Step 5: Solve for x
    x = 85,653,546,963.26/343,685.82
  6. Step 6: Final answer
    x = 249,220.49

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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.