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Finding the Fourth Proportional to 412,897.78, 619,345.50 and 113,378.68

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Solution

The fourth proportional to 412,897.78, 619,345.50 and 113,378.68 is: 170,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,897.78 : 619,345.50 = 113,378.68 : x
  2. Step 2: Convert to fraction form
    412,897.78/619,345.50 = 113,378.68/x
  3. Step 3: Cross multiply
    412,897.78x = 619,345.50 × 113,378.68
  4. Step 4: Simplify right side
    412,897.78x = 70,220,575,253.94
  5. Step 5: Solve for x
    x = 70,220,575,253.94/412,897.78
  6. Step 6: Final answer
    x = 170,067.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.