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Finding the Fourth Proportional to 371,511.05, 512,687.16 and 210,397.46

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Solution

The fourth proportional to 371,511.05, 512,687.16 and 210,397.46 is: 290,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,511.05 : 512,687.16 = 210,397.46 : x
  2. Step 2: Convert to fraction form
    371,511.05/512,687.16 = 210,397.46/x
  3. Step 3: Cross multiply
    371,511.05x = 512,687.16 × 210,397.46
  4. Step 4: Simplify right side
    371,511.05x = 107,868,073,675.18
  5. Step 5: Solve for x
    x = 107,868,073,675.18/371,511.05
  6. Step 6: Final answer
    x = 290,349.57

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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.