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Finding the Fourth Proportional to 390,297.96, 538,418.34 and 269,562.60

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Solution

The fourth proportional to 390,297.96, 538,418.34 and 269,562.60 is: 371,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,297.96 : 538,418.34 = 269,562.60 : x
  2. Step 2: Convert to fraction form
    390,297.96/538,418.34 = 269,562.60/x
  3. Step 3: Cross multiply
    390,297.96x = 538,418.34 × 269,562.60
  4. Step 4: Simplify right side
    390,297.96x = 145,137,447,618.08
  5. Step 5: Solve for x
    x = 145,137,447,618.08/390,297.96
  6. Step 6: Final answer
    x = 371,863.20

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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.