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Finding the Fourth Proportional to 347,137.10, 520,705.65 and 97,819.10

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Solution

The fourth proportional to 347,137.10, 520,705.65 and 97,819.10 is: 146,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,137.10 : 520,705.65 = 97,819.10 : x
  2. Step 2: Convert to fraction form
    347,137.10/520,705.65 = 97,819.10/x
  3. Step 3: Cross multiply
    347,137.10x = 520,705.65 × 97,819.10
  4. Step 4: Simplify right side
    347,137.10x = 50,934,958,047.92
  5. Step 5: Solve for x
    x = 50,934,958,047.92/347,137.10
  6. Step 6: Final answer
    x = 146,728.65

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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.