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Finding the Fourth Proportional to 254,513.60, 380,992.80 and 198,526.40

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Solution

The fourth proportional to 254,513.60, 380,992.80 and 198,526.40 is: 297,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,513.60 : 380,992.80 = 198,526.40 : x
  2. Step 2: Convert to fraction form
    254,513.60/380,992.80 = 198,526.40/x
  3. Step 3: Cross multiply
    254,513.60x = 380,992.80 × 198,526.40
  4. Step 4: Simplify right side
    254,513.60x = 75,637,129,009.92
  5. Step 5: Solve for x
    x = 75,637,129,009.92/254,513.60
  6. Step 6: Final answer
    x = 297,183.05

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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.