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Finding the Fourth Proportional to 504,825.80, 696,648.47 and 278,471.30

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Solution

The fourth proportional to 504,825.80, 696,648.47 and 278,471.30 is: 384,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,825.80 : 696,648.47 = 278,471.30 : x
  2. Step 2: Convert to fraction form
    504,825.80/696,648.47 = 278,471.30/x
  3. Step 3: Cross multiply
    504,825.80x = 696,648.47 × 278,471.30
  4. Step 4: Simplify right side
    504,825.80x = 193,996,600,208.31
  5. Step 5: Solve for x
    x = 193,996,600,208.31/504,825.80
  6. Step 6: Final answer
    x = 384,284.25

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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.