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Finding the Fourth Proportional to 413,753.40, 621,792.66 and 245,297.64

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Solution

The fourth proportional to 413,753.40, 621,792.66 and 245,297.64 is: 368,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753.40 : 621,792.66 = 245,297.64 : x
  2. Step 2: Convert to fraction form
    413,753.40/621,792.66 = 245,297.64/x
  3. Step 3: Cross multiply
    413,753.40x = 621,792.66 × 245,297.64
  4. Step 4: Simplify right side
    413,753.40x = 152,524,272,067.32
  5. Step 5: Solve for x
    x = 152,524,272,067.32/413,753.40
  6. Step 6: Final answer
    x = 368,635.69

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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.