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Finding the Fourth Proportional to 702,178.20, 969,121.83 and 430,397.28

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Solution

The fourth proportional to 702,178.20, 969,121.83 and 430,397.28 is: 594,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,178.20 : 969,121.83 = 430,397.28 : x
  2. Step 2: Convert to fraction form
    702,178.20/969,121.83 = 430,397.28/x
  3. Step 3: Cross multiply
    702,178.20x = 969,121.83 × 430,397.28
  4. Step 4: Simplify right side
    702,178.20x = 417,107,399,620.62
  5. Step 5: Solve for x
    x = 417,107,399,620.62/702,178.20
  6. Step 6: Final answer
    x = 594,019.30

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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.