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Finding the Fourth Proportional to 640,743.40, 961,115.10 and 405,130.60

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Solution

The fourth proportional to 640,743.40, 961,115.10 and 405,130.60 is: 607,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,743.40 : 961,115.10 = 405,130.60 : x
  2. Step 2: Convert to fraction form
    640,743.40/961,115.10 = 405,130.60/x
  3. Step 3: Cross multiply
    640,743.40x = 961,115.10 × 405,130.60
  4. Step 4: Simplify right side
    640,743.40x = 389,377,137,132.06
  5. Step 5: Solve for x
    x = 389,377,137,132.06/640,743.40
  6. Step 6: Final answer
    x = 607,695.90

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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.