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Finding the Fourth Proportional to 378,462.72, 522,254.64 and 208,698.24

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Solution

The fourth proportional to 378,462.72, 522,254.64 and 208,698.24 is: 287,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,462.72 : 522,254.64 = 208,698.24 : x
  2. Step 2: Convert to fraction form
    378,462.72/522,254.64 = 208,698.24/x
  3. Step 3: Cross multiply
    378,462.72x = 522,254.64 × 208,698.24
  4. Step 4: Simplify right side
    378,462.72x = 108,993,624,199.83
  5. Step 5: Solve for x
    x = 108,993,624,199.83/378,462.72
  6. Step 6: Final answer
    x = 287,990.38

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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.