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Finding the Fourth Proportional to 686,598.45, 947,505.49 and 380,674

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Solution

The fourth proportional to 686,598.45, 947,505.49 and 380,674 is: 525,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,598.45 : 947,505.49 = 380,674 : x
  2. Step 2: Convert to fraction form
    686,598.45/947,505.49 = 380,674/x
  3. Step 3: Cross multiply
    686,598.45x = 947,505.49 × 380,674
  4. Step 4: Simplify right side
    686,598.45x = 360,690,704,900.26
  5. Step 5: Solve for x
    x = 360,690,704,900.26/686,598.45
  6. Step 6: Final answer
    x = 525,329.91

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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.