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Finding the Fourth Proportional to 378,807.59, 522,751.90 and 209,041.73

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Solution

The fourth proportional to 378,807.59, 522,751.90 and 209,041.73 is: 288,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,807.59 : 522,751.90 = 209,041.73 : x
  2. Step 2: Convert to fraction form
    378,807.59/522,751.90 = 209,041.73/x
  3. Step 3: Cross multiply
    378,807.59x = 522,751.90 × 209,041.73
  4. Step 4: Simplify right side
    378,807.59x = 109,276,961,536.79
  5. Step 5: Solve for x
    x = 109,276,961,536.79/378,807.59
  6. Step 6: Final answer
    x = 288,476.17

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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.