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Finding the Fourth Proportional to 292,292, 403,363.32 and 158,156

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Solution

The fourth proportional to 292,292, 403,363.32 and 158,156 is: 218,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,292 : 403,363.32 = 158,156 : x
  2. Step 2: Convert to fraction form
    292,292/403,363.32 = 158,156/x
  3. Step 3: Cross multiply
    292,292x = 403,363.32 × 158,156
  4. Step 4: Simplify right side
    292,292x = 63,794,329,237.92
  5. Step 5: Solve for x
    x = 63,794,329,237.92/292,292
  6. Step 6: Final answer
    x = 218,255.47

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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.