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Finding the Fourth Proportional to 504,862.56, 696,699.12 and 278,508

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Solution

The fourth proportional to 504,862.56, 696,699.12 and 278,508 is: 384,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,862.56 : 696,699.12 = 278,508 : x
  2. Step 2: Convert to fraction form
    504,862.56/696,699.12 = 278,508/x
  3. Step 3: Cross multiply
    504,862.56x = 696,699.12 × 278,508
  4. Step 4: Simplify right side
    504,862.56x = 194,036,278,512.96
  5. Step 5: Solve for x
    x = 194,036,278,512.96/504,862.56
  6. Step 6: Final answer
    x = 384,334.85

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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.