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Finding the Fourth Proportional to 504,395.10, 696,064.41 and 278,040.78

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Solution

The fourth proportional to 504,395.10, 696,064.41 and 278,040.78 is: 383,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,395.10 : 696,064.41 = 278,040.78 : x
  2. Step 2: Convert to fraction form
    504,395.10/696,064.41 = 278,040.78/x
  3. Step 3: Cross multiply
    504,395.10x = 696,064.41 × 278,040.78
  4. Step 4: Simplify right side
    504,395.10x = 193,534,291,486.64
  5. Step 5: Solve for x
    x = 193,534,291,486.64/504,395.10
  6. Step 6: Final answer
    x = 383,695.82

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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.