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Finding the Fourth Proportional to 346,499.40, 519,749.10 and 197,200.20

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Solution

The fourth proportional to 346,499.40, 519,749.10 and 197,200.20 is: 295,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,499.40 : 519,749.10 = 197,200.20 : x
  2. Step 2: Convert to fraction form
    346,499.40/519,749.10 = 197,200.20/x
  3. Step 3: Cross multiply
    346,499.40x = 519,749.10 × 197,200.20
  4. Step 4: Simplify right side
    346,499.40x = 102,494,626,469.82
  5. Step 5: Solve for x
    x = 102,494,626,469.82/346,499.40
  6. Step 6: Final answer
    x = 295,800.30

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Similar ratio
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1.5x scale

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.