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Finding the Fourth Proportional to 369,349.14, 509,671.20 and 208,243.80

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Solution

The fourth proportional to 369,349.14, 509,671.20 and 208,243.80 is: 287,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,349.14 : 509,671.20 = 208,243.80 : x
  2. Step 2: Convert to fraction form
    369,349.14/509,671.20 = 208,243.80/x
  3. Step 3: Cross multiply
    369,349.14x = 509,671.20 × 208,243.80
  4. Step 4: Simplify right side
    369,349.14x = 106,135,867,438.56
  5. Step 5: Solve for x
    x = 106,135,867,438.56/369,349.14
  6. Step 6: Final answer
    x = 287,359.18

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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.