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Finding the Fourth Proportional to 686,927.09, 947,945.20 and 380,954.13

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Solution

The fourth proportional to 686,927.09, 947,945.20 and 380,954.13 is: 525,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,927.09 : 947,945.20 = 380,954.13 : x
  2. Step 2: Convert to fraction form
    686,927.09/947,945.20 = 380,954.13/x
  3. Step 3: Cross multiply
    686,927.09x = 947,945.20 × 380,954.13
  4. Step 4: Simplify right side
    686,927.09x = 361,123,638,953.68
  5. Step 5: Solve for x
    x = 361,123,638,953.68/686,927.09
  6. Step 6: Final answer
    x = 525,708.83

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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.