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Finding the Fourth Proportional to 292,435.80, 438,768.90 and 114,912.60

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Solution

The fourth proportional to 292,435.80, 438,768.90 and 114,912.60 is: 172,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,435.80 : 438,768.90 = 114,912.60 : x
  2. Step 2: Convert to fraction form
    292,435.80/438,768.90 = 114,912.60/x
  3. Step 3: Cross multiply
    292,435.80x = 438,768.90 × 114,912.60
  4. Step 4: Simplify right side
    292,435.80x = 50,420,075,098.14
  5. Step 5: Solve for x
    x = 50,420,075,098.14/292,435.80
  6. Step 6: Final answer
    x = 172,414.17

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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.