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Finding the Fourth Proportional to 508,468.60, 762,403.74 and 192,947.64

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Solution

The fourth proportional to 508,468.60, 762,403.74 and 192,947.64 is: 289,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,468.60 : 762,403.74 = 192,947.64 : x
  2. Step 2: Convert to fraction form
    508,468.60/762,403.74 = 192,947.64/x
  3. Step 3: Cross multiply
    508,468.60x = 762,403.74 × 192,947.64
  4. Step 4: Simplify right side
    508,468.60x = 147,104,002,360.17
  5. Step 5: Solve for x
    x = 147,104,002,360.17/508,468.60
  6. Step 6: Final answer
    x = 289,307.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.