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Finding the Fourth Proportional to 292,261, 403,320.20 and 158,125

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Solution

The fourth proportional to 292,261, 403,320.20 and 158,125 is: 218,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,261 : 403,320.20 = 158,125 : x
  2. Step 2: Convert to fraction form
    292,261/403,320.20 = 158,125/x
  3. Step 3: Cross multiply
    292,261x = 403,320.20 × 158,125
  4. Step 4: Simplify right side
    292,261x = 63,775,006,625
  5. Step 5: Solve for x
    x = 63,775,006,625/292,261
  6. Step 6: Final answer
    x = 218,212.51

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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.