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Finding the Fourth Proportional to 510,311.60, 765,139.35 and 210,911.30

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Solution

The fourth proportional to 510,311.60, 765,139.35 and 210,911.30 is: 316,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,311.60 : 765,139.35 = 210,911.30 : x
  2. Step 2: Convert to fraction form
    510,311.60/765,139.35 = 210,911.30/x
  3. Step 3: Cross multiply
    510,311.60x = 765,139.35 × 210,911.30
  4. Step 4: Simplify right side
    510,311.60x = 161,376,534,989.66
  5. Step 5: Solve for x
    x = 161,376,534,989.66/510,311.60
  6. Step 6: Final answer
    x = 316,231.37

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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.