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Finding the Fourth Proportional to 512,570.40, 769,511.70 and 272,875.20

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Solution

The fourth proportional to 512,570.40, 769,511.70 and 272,875.20 is: 409,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,570.40 : 769,511.70 = 272,875.20 : x
  2. Step 2: Convert to fraction form
    512,570.40/769,511.70 = 272,875.20/x
  3. Step 3: Cross multiply
    512,570.40x = 769,511.70 × 272,875.20
  4. Step 4: Simplify right side
    512,570.40x = 209,980,659,039.84
  5. Step 5: Solve for x
    x = 209,980,659,039.84/512,570.40
  6. Step 6: Final answer
    x = 409,662.09

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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.