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Finding the Fourth Proportional to 378,385.02, 522,168.12 and 208,615.50

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Solution

The fourth proportional to 378,385.02, 522,168.12 and 208,615.50 is: 287,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,385.02 : 522,168.12 = 208,615.50 : x
  2. Step 2: Convert to fraction form
    378,385.02/522,168.12 = 208,615.50/x
  3. Step 3: Cross multiply
    378,385.02x = 522,168.12 × 208,615.50
  4. Step 4: Simplify right side
    378,385.02x = 108,932,363,437.86
  5. Step 5: Solve for x
    x = 108,932,363,437.86/378,385.02
  6. Step 6: Final answer
    x = 287,887.62

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1.5x scale

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.