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Finding the Fourth Proportional to 502,409.87, 692,943.90 and 347,618.87

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Solution

The fourth proportional to 502,409.87, 692,943.90 and 347,618.87 is: 479,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,409.87 : 692,943.90 = 347,618.87 : x
  2. Step 2: Convert to fraction form
    502,409.87/692,943.90 = 347,618.87/x
  3. Step 3: Cross multiply
    502,409.87x = 692,943.90 × 347,618.87
  4. Step 4: Simplify right side
    502,409.87x = 240,880,375,491.39
  5. Step 5: Solve for x
    x = 240,880,375,491.39/502,409.87
  6. Step 6: Final answer
    x = 479,449.93

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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.