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Finding the Fourth Proportional to 522,748.22, 782,141.47 and 309,630.47

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Solution

The fourth proportional to 522,748.22, 782,141.47 and 309,630.47 is: 463,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,748.22 : 782,141.47 = 309,630.47 : x
  2. Step 2: Convert to fraction form
    522,748.22/782,141.47 = 309,630.47/x
  3. Step 3: Cross multiply
    522,748.22x = 782,141.47 × 309,630.47
  4. Step 4: Simplify right side
    522,748.22x = 242,174,826,277.81
  5. Step 5: Solve for x
    x = 242,174,826,277.81/522,748.22
  6. Step 6: Final answer
    x = 463,272.41

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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.