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Finding the Fourth Proportional to 292,545.95, 403,721.40 and 165,221.54

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Solution

The fourth proportional to 292,545.95, 403,721.40 and 165,221.54 is: 228,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,545.95 : 403,721.40 = 165,221.54 : x
  2. Step 2: Convert to fraction form
    292,545.95/403,721.40 = 165,221.54/x
  3. Step 3: Cross multiply
    292,545.95x = 403,721.40 × 165,221.54
  4. Step 4: Simplify right side
    292,545.95x = 66,703,472,448.26
  5. Step 5: Solve for x
    x = 66,703,472,448.26/292,545.95
  6. Step 6: Final answer
    x = 228,010.24

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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.