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Finding the Fourth Proportional to 378,912, 522,898.61 and 209,146.17

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Solution

The fourth proportional to 378,912, 522,898.61 and 209,146.17 is: 288,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,912 : 522,898.61 = 209,146.17 : x
  2. Step 2: Convert to fraction form
    378,912/522,898.61 = 209,146.17/x
  3. Step 3: Cross multiply
    378,912x = 522,898.61 × 209,146.17
  4. Step 4: Simplify right side
    378,912x = 109,362,241,579.82
  5. Step 5: Solve for x
    x = 109,362,241,579.82/378,912
  6. Step 6: Final answer
    x = 288,621.74

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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.