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Finding the Fourth Proportional to 631,696.50, 947,275.02 and 365,640.66

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Solution

The fourth proportional to 631,696.50, 947,275.02 and 365,640.66 is: 548,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,696.50 : 947,275.02 = 365,640.66 : x
  2. Step 2: Convert to fraction form
    631,696.50/947,275.02 = 365,640.66/x
  3. Step 3: Cross multiply
    631,696.50x = 947,275.02 × 365,640.66
  4. Step 4: Simplify right side
    631,696.50x = 346,362,263,514.31
  5. Step 5: Solve for x
    x = 346,362,263,514.31/631,696.50
  6. Step 6: Final answer
    x = 548,304.86

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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.