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Finding the Fourth Proportional to 369,343.14, 509,662.91 and 208,237.79

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Solution

The fourth proportional to 369,343.14, 509,662.91 and 208,237.79 is: 287,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,343.14 : 509,662.91 = 208,237.79 : x
  2. Step 2: Convert to fraction form
    369,343.14/509,662.91 = 208,237.79/x
  3. Step 3: Cross multiply
    369,343.14x = 509,662.91 × 208,237.79
  4. Step 4: Simplify right side
    369,343.14x = 106,131,074,433.87
  5. Step 5: Solve for x
    x = 106,131,074,433.87/369,343.14
  6. Step 6: Final answer
    x = 287,350.87

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1.5x scale

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.