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Finding the Fourth Proportional to 252,412.02, 378,405.70 and 117,407.50

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Solution

The fourth proportional to 252,412.02, 378,405.70 and 117,407.50 is: 176,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,412.02 : 378,405.70 = 117,407.50 : x
  2. Step 2: Convert to fraction form
    252,412.02/378,405.70 = 117,407.50/x
  3. Step 3: Cross multiply
    252,412.02x = 378,405.70 × 117,407.50
  4. Step 4: Simplify right side
    252,412.02x = 44,427,667,222.75
  5. Step 5: Solve for x
    x = 44,427,667,222.75/252,412.02
  6. Step 6: Final answer
    x = 176,012.49

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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.