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Finding the Fourth Proportional to 522,656.70, 782,002.44 and 309,538.68

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Solution

The fourth proportional to 522,656.70, 782,002.44 and 309,538.68 is: 463,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,656.70 : 782,002.44 = 309,538.68 : x
  2. Step 2: Convert to fraction form
    522,656.70/782,002.44 = 309,538.68/x
  3. Step 3: Cross multiply
    522,656.70x = 782,002.44 × 309,538.68
  4. Step 4: Simplify right side
    522,656.70x = 242,060,003,034.38
  5. Step 5: Solve for x
    x = 242,060,003,034.38/522,656.70
  6. Step 6: Final answer
    x = 463,133.84

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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.