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Finding the Fourth Proportional to 640,854.60, 960,129.90 and 307,696.20

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Solution

The fourth proportional to 640,854.60, 960,129.90 and 307,696.20 is: 460,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,854.60 : 960,129.90 = 307,696.20 : x
  2. Step 2: Convert to fraction form
    640,854.60/960,129.90 = 307,696.20/x
  3. Step 3: Cross multiply
    640,854.60x = 960,129.90 × 307,696.20
  4. Step 4: Simplify right side
    640,854.60x = 295,428,321,736.38
  5. Step 5: Solve for x
    x = 295,428,321,736.38/640,854.60
  6. Step 6: Final answer
    x = 460,991.19

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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.