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Finding the Fourth Proportional to 720,396.82, 1,080,256.02 and 420,963.94

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Solution

The fourth proportional to 720,396.82, 1,080,256.02 and 420,963.94 is: 631,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,396.82 : 1,080,256.02 = 420,963.94 : x
  2. Step 2: Convert to fraction form
    720,396.82/1,080,256.02 = 420,963.94/x
  3. Step 3: Cross multiply
    720,396.82x = 1,080,256.02 × 420,963.94
  4. Step 4: Simplify right side
    720,396.82x = 454,748,830,387.92
  5. Step 5: Solve for x
    x = 454,748,830,387.92/720,396.82
  6. Step 6: Final answer
    x = 631,247.69

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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.