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Finding the Fourth Proportional to 577,720.64, 866,722.80 and 198,647.20

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Solution

The fourth proportional to 577,720.64, 866,722.80 and 198,647.20 is: 298,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,720.64 : 866,722.80 = 198,647.20 : x
  2. Step 2: Convert to fraction form
    577,720.64/866,722.80 = 198,647.20/x
  3. Step 3: Cross multiply
    577,720.64x = 866,722.80 × 198,647.20
  4. Step 4: Simplify right side
    577,720.64x = 172,172,057,396.16
  5. Step 5: Solve for x
    x = 172,172,057,396.16/577,720.64
  6. Step 6: Final answer
    x = 298,019.57

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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.