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Finding the Fourth Proportional to 509,169.57, 763,461.64 and 209,856.75

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Solution

The fourth proportional to 509,169.57, 763,461.64 and 209,856.75 is: 314,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,169.57 : 763,461.64 = 209,856.75 : x
  2. Step 2: Convert to fraction form
    509,169.57/763,461.64 = 209,856.75/x
  3. Step 3: Cross multiply
    509,169.57x = 763,461.64 × 209,856.75
  4. Step 4: Simplify right side
    509,169.57x = 160,217,578,520.07
  5. Step 5: Solve for x
    x = 160,217,578,520.07/509,169.57
  6. Step 6: Final answer
    x = 314,664.48

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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.