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Finding the Fourth Proportional to 371,042.49, 512,038.79 and 209,894.11

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Solution

The fourth proportional to 371,042.49, 512,038.79 and 209,894.11 is: 289,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,042.49 : 512,038.79 = 209,894.11 : x
  2. Step 2: Convert to fraction form
    371,042.49/512,038.79 = 209,894.11/x
  3. Step 3: Cross multiply
    371,042.49x = 512,038.79 × 209,894.11
  4. Step 4: Simplify right side
    371,042.49x = 107,473,926,112.53
  5. Step 5: Solve for x
    x = 107,473,926,112.53/371,042.49
  6. Step 6: Final answer
    x = 289,653.96

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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.