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Finding the Fourth Proportional to 369,359.76, 509,667.36 and 208,221.60

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Solution

The fourth proportional to 369,359.76, 509,667.36 and 208,221.60 is: 287,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,359.76 : 509,667.36 = 208,221.60 : x
  2. Step 2: Convert to fraction form
    369,359.76/509,667.36 = 208,221.60/x
  3. Step 3: Cross multiply
    369,359.76x = 509,667.36 × 208,221.60
  4. Step 4: Simplify right side
    369,359.76x = 106,123,753,166.98
  5. Step 5: Solve for x
    x = 106,123,753,166.98/369,359.76
  6. Step 6: Final answer
    x = 287,318.12

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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.