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Finding the Fourth Proportional to 252,344.96, 378,459.12 and 74,809.16

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Solution

The fourth proportional to 252,344.96, 378,459.12 and 74,809.16 is: 112,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,344.96 : 378,459.12 = 74,809.16 : x
  2. Step 2: Convert to fraction form
    252,344.96/378,459.12 = 74,809.16/x
  3. Step 3: Cross multiply
    252,344.96x = 378,459.12 × 74,809.16
  4. Step 4: Simplify right side
    252,344.96x = 28,312,208,861.54
  5. Step 5: Solve for x
    x = 28,312,208,861.54/252,344.96
  6. Step 6: Final answer
    x = 112,196.45

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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.