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Finding the Fourth Proportional to 378,859.59, 522,825.17 and 209,092.50

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Solution

The fourth proportional to 378,859.59, 522,825.17 and 209,092.50 is: 288,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,859.59 : 522,825.17 = 209,092.50 : x
  2. Step 2: Convert to fraction form
    378,859.59/522,825.17 = 209,092.50/x
  3. Step 3: Cross multiply
    378,859.59x = 522,825.17 × 209,092.50
  4. Step 4: Simplify right side
    378,859.59x = 109,318,820,812.76
  5. Step 5: Solve for x
    x = 109,318,820,812.76/378,859.59
  6. Step 6: Final answer
    x = 288,547.06

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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.