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Finding the Fourth Proportional to 339,859.60, 510,178.20 and 199,697.20

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Solution

The fourth proportional to 339,859.60, 510,178.20 and 199,697.20 is: 299,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,859.60 : 510,178.20 = 199,697.20 : x
  2. Step 2: Convert to fraction form
    339,859.60/510,178.20 = 199,697.20/x
  3. Step 3: Cross multiply
    339,859.60x = 510,178.20 × 199,697.20
  4. Step 4: Simplify right side
    339,859.60x = 101,881,158,041.04
  5. Step 5: Solve for x
    x = 101,881,158,041.04/339,859.60
  6. Step 6: Final answer
    x = 299,774.25

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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.