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Finding the Fourth Proportional to 412,128, 618,451.68 and 175,470.24

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Solution

The fourth proportional to 412,128, 618,451.68 and 175,470.24 is: 263,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,128 : 618,451.68 = 175,470.24 : x
  2. Step 2: Convert to fraction form
    412,128/618,451.68 = 175,470.24/x
  3. Step 3: Cross multiply
    412,128x = 618,451.68 × 175,470.24
  4. Step 4: Simplify right side
    412,128x = 108,519,864,718.00
  5. Step 5: Solve for x
    x = 108,519,864,718.00/412,128
  6. Step 6: Final answer
    x = 263,315.92

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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.