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Finding the Fourth Proportional to 371,478, 512,639.64 and 212,502

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Solution

The fourth proportional to 371,478, 512,639.64 and 212,502 is: 293,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,478 : 512,639.64 = 212,502 : x
  2. Step 2: Convert to fraction form
    371,478/512,639.64 = 212,502/x
  3. Step 3: Cross multiply
    371,478x = 512,639.64 × 212,502
  4. Step 4: Simplify right side
    371,478x = 108,936,948,779.28
  5. Step 5: Solve for x
    x = 108,936,948,779.28/371,478
  6. Step 6: Final answer
    x = 293,252.76

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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.