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Finding the Fourth Proportional to 419,934.51, 630,265.73 and 220,395.87

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Solution

The fourth proportional to 419,934.51, 630,265.73 and 220,395.87 is: 330,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,934.51 : 630,265.73 = 220,395.87 : x
  2. Step 2: Convert to fraction form
    419,934.51/630,265.73 = 220,395.87/x
  3. Step 3: Cross multiply
    419,934.51x = 630,265.73 × 220,395.87
  4. Step 4: Simplify right side
    419,934.51x = 138,907,962,792.56
  5. Step 5: Solve for x
    x = 138,907,962,792.56/419,934.51
  6. Step 6: Final answer
    x = 330,784.82

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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.