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Finding the Fourth Proportional to 378,924.84, 522,916.20 and 209,158.92

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Solution

The fourth proportional to 378,924.84, 522,916.20 and 209,158.92 is: 288,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,924.84 : 522,916.20 = 209,158.92 : x
  2. Step 2: Convert to fraction form
    378,924.84/522,916.20 = 209,158.92/x
  3. Step 3: Cross multiply
    378,924.84x = 522,916.20 × 209,158.92
  4. Step 4: Simplify right side
    378,924.84x = 109,372,587,642.50
  5. Step 5: Solve for x
    x = 109,372,587,642.50/378,924.84
  6. Step 6: Final answer
    x = 288,639.27

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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.