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Finding the Fourth Proportional to 369,202.20, 509,509.71 and 208,048.38

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Solution

The fourth proportional to 369,202.20, 509,509.71 and 208,048.38 is: 287,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,202.20 : 509,509.71 = 208,048.38 : x
  2. Step 2: Convert to fraction form
    369,202.20/509,509.71 = 208,048.38/x
  3. Step 3: Cross multiply
    369,202.20x = 509,509.71 × 208,048.38
  4. Step 4: Simplify right side
    369,202.20x = 106,002,669,759.77
  5. Step 5: Solve for x
    x = 106,002,669,759.77/369,202.20
  6. Step 6: Final answer
    x = 287,112.78

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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.