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Finding the Fourth Proportional to 371,064.64, 512,069.36 and 209,916.28

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Solution

The fourth proportional to 371,064.64, 512,069.36 and 209,916.28 is: 289,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,064.64 : 512,069.36 = 209,916.28 : x
  2. Step 2: Convert to fraction form
    371,064.64/512,069.36 = 209,916.28/x
  3. Step 3: Cross multiply
    371,064.64x = 512,069.36 × 209,916.28
  4. Step 4: Simplify right side
    371,064.64x = 107,491,695,153.18
  5. Step 5: Solve for x
    x = 107,491,695,153.18/371,064.64
  6. Step 6: Final answer
    x = 289,684.56

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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.