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Finding the Fourth Proportional to 371,622.45, 512,874.75 and 208,278.16

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Solution

The fourth proportional to 371,622.45, 512,874.75 and 208,278.16 is: 287,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,622.45 : 512,874.75 = 208,278.16 : x
  2. Step 2: Convert to fraction form
    371,622.45/512,874.75 = 208,278.16/x
  3. Step 3: Cross multiply
    371,622.45x = 512,874.75 × 208,278.16
  4. Step 4: Simplify right side
    371,622.45x = 106,820,609,240.46
  5. Step 5: Solve for x
    x = 106,820,609,240.46/371,622.45
  6. Step 6: Final answer
    x = 287,443.91

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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.