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Finding the Fourth Proportional to 339,742.60, 510,002.70 and 199,580.20

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Solution

The fourth proportional to 339,742.60, 510,002.70 and 199,580.20 is: 299,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,742.60 : 510,002.70 = 199,580.20 : x
  2. Step 2: Convert to fraction form
    339,742.60/510,002.70 = 199,580.20/x
  3. Step 3: Cross multiply
    339,742.60x = 510,002.70 × 199,580.20
  4. Step 4: Simplify right side
    339,742.60x = 101,786,440,866.54
  5. Step 5: Solve for x
    x = 101,786,440,866.54/339,742.60
  6. Step 6: Final answer
    x = 299,598.70

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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.