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Finding the Fourth Proportional to 412,130.61, 618,284.67 and 127,815.39

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Solution

The fourth proportional to 412,130.61, 618,284.67 and 127,815.39 is: 191,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,130.61 : 618,284.67 = 127,815.39 : x
  2. Step 2: Convert to fraction form
    412,130.61/618,284.67 = 127,815.39/x
  3. Step 3: Cross multiply
    412,130.61x = 618,284.67 × 127,815.39
  4. Step 4: Simplify right side
    412,130.61x = 79,026,296,227.07
  5. Step 5: Solve for x
    x = 79,026,296,227.07/412,130.61
  6. Step 6: Final answer
    x = 191,750.61

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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.