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Finding the Fourth Proportional to 378,938.52, 522,931.95 and 209,169

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Solution

The fourth proportional to 378,938.52, 522,931.95 and 209,169 is: 288,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,938.52 : 522,931.95 = 209,169 : x
  2. Step 2: Convert to fraction form
    378,938.52/522,931.95 = 209,169/x
  3. Step 3: Cross multiply
    378,938.52x = 522,931.95 × 209,169
  4. Step 4: Simplify right side
    378,938.52x = 109,381,153,049.55
  5. Step 5: Solve for x
    x = 109,381,153,049.55/378,938.52
  6. Step 6: Final answer
    x = 288,651.45

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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.