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Finding the Fourth Proportional to 412,809.77, 619,303.52 and 128,494.28

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Solution

The fourth proportional to 412,809.77, 619,303.52 and 128,494.28 is: 192,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,809.77 : 619,303.52 = 128,494.28 : x
  2. Step 2: Convert to fraction form
    412,809.77/619,303.52 = 128,494.28/x
  3. Step 3: Cross multiply
    412,809.77x = 619,303.52 × 128,494.28
  4. Step 4: Simplify right side
    412,809.77x = 79,576,957,128.58
  5. Step 5: Solve for x
    x = 79,576,957,128.58/412,809.77
  6. Step 6: Final answer
    x = 192,769.08

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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.