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Finding the Fourth Proportional to 369,487.37, 509,849.24 and 208,332.80

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Solution

The fourth proportional to 369,487.37, 509,849.24 and 208,332.80 is: 287,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,487.37 : 509,849.24 = 208,332.80 : x
  2. Step 2: Convert to fraction form
    369,487.37/509,849.24 = 208,332.80/x
  3. Step 3: Cross multiply
    369,487.37x = 509,849.24 × 208,332.80
  4. Step 4: Simplify right side
    369,487.37x = 106,218,321,542.53
  5. Step 5: Solve for x
    x = 106,218,321,542.53/369,487.37
  6. Step 6: Final answer
    x = 287,474.84

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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.