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Finding the Fourth Proportional to 646,116.46, 891,640.74 and 359,630.38

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Solution

The fourth proportional to 646,116.46, 891,640.74 and 359,630.38 is: 496,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,116.46 : 891,640.74 = 359,630.38 : x
  2. Step 2: Convert to fraction form
    646,116.46/891,640.74 = 359,630.38/x
  3. Step 3: Cross multiply
    646,116.46x = 891,640.74 × 359,630.38
  4. Step 4: Simplify right side
    646,116.46x = 320,661,098,149.68
  5. Step 5: Solve for x
    x = 320,661,098,149.68/646,116.46
  6. Step 6: Final answer
    x = 496,289.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.