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Finding the Fourth Proportional to 522,885.35, 782,348.76 and 309,767.67

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Solution

The fourth proportional to 522,885.35, 782,348.76 and 309,767.67 is: 463,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,885.35 : 782,348.76 = 309,767.67 : x
  2. Step 2: Convert to fraction form
    522,885.35/782,348.76 = 309,767.67/x
  3. Step 3: Cross multiply
    522,885.35x = 782,348.76 × 309,767.67
  4. Step 4: Simplify right side
    522,885.35x = 242,346,352,512.59
  5. Step 5: Solve for x
    x = 242,346,352,512.59/522,885.35
  6. Step 6: Final answer
    x = 463,478.95

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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.