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Finding the Fourth Proportional to 707,778.80, 1,061,661.60 and 286,954.64

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Solution

The fourth proportional to 707,778.80, 1,061,661.60 and 286,954.64 is: 430,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,778.80 : 1,061,661.60 = 286,954.64 : x
  2. Step 2: Convert to fraction form
    707,778.80/1,061,661.60 = 286,954.64/x
  3. Step 3: Cross multiply
    707,778.80x = 1,061,661.60 × 286,954.64
  4. Step 4: Simplify right side
    707,778.80x = 304,648,722,229.82
  5. Step 5: Solve for x
    x = 304,648,722,229.82/707,778.80
  6. Step 6: Final answer
    x = 430,429.28

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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.