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Finding the Fourth Proportional to 369,618.16, 510,072.36 and 208,472.71

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Solution

The fourth proportional to 369,618.16, 510,072.36 and 208,472.71 is: 287,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,618.16 : 510,072.36 = 208,472.71 : x
  2. Step 2: Convert to fraction form
    369,618.16/510,072.36 = 208,472.71/x
  3. Step 3: Cross multiply
    369,618.16x = 510,072.36 × 208,472.71
  4. Step 4: Simplify right side
    369,618.16x = 106,336,167,185.30
  5. Step 5: Solve for x
    x = 106,336,167,185.30/369,618.16
  6. Step 6: Final answer
    x = 287,691.94

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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.