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Finding the Fourth Proportional to 371,731.68, 512,973 and 210,583.44

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Solution

The fourth proportional to 371,731.68, 512,973 and 210,583.44 is: 290,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,731.68 : 512,973 = 210,583.44 : x
  2. Step 2: Convert to fraction form
    371,731.68/512,973 = 210,583.44/x
  3. Step 3: Cross multiply
    371,731.68x = 512,973 × 210,583.44
  4. Step 4: Simplify right side
    371,731.68x = 108,023,618,967.12
  5. Step 5: Solve for x
    x = 108,023,618,967.12/371,731.68
  6. Step 6: Final answer
    x = 290,595.68

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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.