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Finding the Fourth Proportional to 378,762.93, 523,385.75 and 360,311.94

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Solution

The fourth proportional to 378,762.93, 523,385.75 and 360,311.94 is: 497,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,762.93 : 523,385.75 = 360,311.94 : x
  2. Step 2: Convert to fraction form
    378,762.93/523,385.75 = 360,311.94/x
  3. Step 3: Cross multiply
    378,762.93x = 523,385.75 × 360,311.94
  4. Step 4: Simplify right side
    378,762.93x = 188,582,135,851.64
  5. Step 5: Solve for x
    x = 188,582,135,851.64/378,762.93
  6. Step 6: Final answer
    x = 497,889.63

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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.