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Finding the Fourth Proportional to 640,919.94, 961,714.11 and 464,880.11

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Solution

The fourth proportional to 640,919.94, 961,714.11 and 464,880.11 is: 697,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,919.94 : 961,714.11 = 464,880.11 : x
  2. Step 2: Convert to fraction form
    640,919.94/961,714.11 = 464,880.11/x
  3. Step 3: Cross multiply
    640,919.94x = 961,714.11 × 464,880.11
  4. Step 4: Simplify right side
    640,919.94x = 447,081,763,589.72
  5. Step 5: Solve for x
    x = 447,081,763,589.72/640,919.94
  6. Step 6: Final answer
    x = 697,562.57

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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.