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Finding the Fourth Proportional to 262,359.70, 393,539.55 and 209,871.70

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Solution

The fourth proportional to 262,359.70, 393,539.55 and 209,871.70 is: 314,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,359.70 : 393,539.55 = 209,871.70 : x
  2. Step 2: Convert to fraction form
    262,359.70/393,539.55 = 209,871.70/x
  3. Step 3: Cross multiply
    262,359.70x = 393,539.55 × 209,871.70
  4. Step 4: Simplify right side
    262,359.70x = 82,592,814,375.74
  5. Step 5: Solve for x
    x = 82,592,814,375.74/262,359.70
  6. Step 6: Final answer
    x = 314,807.55

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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.