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Finding the Fourth Proportional to 252,431.33, 378,356.28 and 102,507

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Solution

The fourth proportional to 252,431.33, 378,356.28 and 102,507 is: 153,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,431.33 : 378,356.28 = 102,507 : x
  2. Step 2: Convert to fraction form
    252,431.33/378,356.28 = 102,507/x
  3. Step 3: Cross multiply
    252,431.33x = 378,356.28 × 102,507
  4. Step 4: Simplify right side
    252,431.33x = 38,784,167,193.96
  5. Step 5: Solve for x
    x = 38,784,167,193.96/252,431.33
  6. Step 6: Final answer
    x = 153,642.45

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