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Finding the Fourth Proportional to 369,499.12, 509,865.44 and 208,344.56

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Solution

The fourth proportional to 369,499.12, 509,865.44 and 208,344.56 is: 287,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,499.12 : 509,865.44 = 208,344.56 : x
  2. Step 2: Convert to fraction form
    369,499.12/509,865.44 = 208,344.56/x
  3. Step 3: Cross multiply
    369,499.12x = 509,865.44 × 208,344.56
  4. Step 4: Simplify right side
    369,499.12x = 106,227,690,756.01
  5. Step 5: Solve for x
    x = 106,227,690,756.01/369,499.12
  6. Step 6: Final answer
    x = 287,491.05

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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.