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Finding the Fourth Proportional to 646,894.60, 968,009.10 and 436,942.60

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Solution

The fourth proportional to 646,894.60, 968,009.10 and 436,942.60 is: 653,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,894.60 : 968,009.10 = 436,942.60 : x
  2. Step 2: Convert to fraction form
    646,894.60/968,009.10 = 436,942.60/x
  3. Step 3: Cross multiply
    646,894.60x = 968,009.10 × 436,942.60
  4. Step 4: Simplify right side
    646,894.60x = 422,964,412,977.66
  5. Step 5: Solve for x
    x = 422,964,412,977.66/646,894.60
  6. Step 6: Final answer
    x = 653,838.22

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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.