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Finding the Fourth Proportional to 374,092.49, 515,580.19 and 283,230.81

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Solution

The fourth proportional to 374,092.49, 515,580.19 and 283,230.81 is: 390,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,092.49 : 515,580.19 = 283,230.81 : x
  2. Step 2: Convert to fraction form
    374,092.49/515,580.19 = 283,230.81/x
  3. Step 3: Cross multiply
    374,092.49x = 515,580.19 × 283,230.81
  4. Step 4: Simplify right side
    374,092.49x = 146,028,194,125.58
  5. Step 5: Solve for x
    x = 146,028,194,125.58/374,092.49
  6. Step 6: Final answer
    x = 390,353.18

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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.