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Finding the Fourth Proportional to 270,483.84, 405,735 and 92,989.32

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Solution

The fourth proportional to 270,483.84, 405,735 and 92,989.32 is: 139,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,483.84 : 405,735 = 92,989.32 : x
  2. Step 2: Convert to fraction form
    270,483.84/405,735 = 92,989.32/x
  3. Step 3: Cross multiply
    270,483.84x = 405,735 × 92,989.32
  4. Step 4: Simplify right side
    270,483.84x = 37,729,021,750.20
  5. Step 5: Solve for x
    x = 37,729,021,750.20/270,483.84
  6. Step 6: Final answer
    x = 139,487.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.