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Finding the Fourth Proportional to 512,579.50, 707,356.89 and 283,152.57

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Solution

The fourth proportional to 512,579.50, 707,356.89 and 283,152.57 is: 390,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,579.50 : 707,356.89 = 283,152.57 : x
  2. Step 2: Convert to fraction form
    512,579.50/707,356.89 = 283,152.57/x
  3. Step 3: Cross multiply
    512,579.50x = 707,356.89 × 283,152.57
  4. Step 4: Simplify right side
    512,579.50x = 200,289,921,310.71
  5. Step 5: Solve for x
    x = 200,289,921,310.71/512,579.50
  6. Step 6: Final answer
    x = 390,748.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.