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Finding the Fourth Proportional to 510,864.36, 766,296.72 and 211,015.38

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Solution

The fourth proportional to 510,864.36, 766,296.72 and 211,015.38 is: 316,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,864.36 : 766,296.72 = 211,015.38 : x
  2. Step 2: Convert to fraction form
    510,864.36/766,296.72 = 211,015.38/x
  3. Step 3: Cross multiply
    510,864.36x = 766,296.72 × 211,015.38
  4. Step 4: Simplify right side
    510,864.36x = 161,700,393,563.55
  5. Step 5: Solve for x
    x = 161,700,393,563.55/510,864.36
  6. Step 6: Final answer
    x = 316,523.14

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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.