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Finding the Fourth Proportional to 381,851.28, 569,985.39 and 354,097.44

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Solution

The fourth proportional to 381,851.28, 569,985.39 and 354,097.44 is: 528,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,851.28 : 569,985.39 = 354,097.44 : x
  2. Step 2: Convert to fraction form
    381,851.28/569,985.39 = 354,097.44/x
  3. Step 3: Cross multiply
    381,851.28x = 569,985.39 × 354,097.44
  4. Step 4: Simplify right side
    381,851.28x = 201,830,367,436.40
  5. Step 5: Solve for x
    x = 201,830,367,436.40/381,851.28
  6. Step 6: Final answer
    x = 528,557.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.