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Finding the Fourth Proportional to 381,675.80, 572,513.70 and 352,807.40

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Solution

The fourth proportional to 381,675.80, 572,513.70 and 352,807.40 is: 529,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,675.80 : 572,513.70 = 352,807.40 : x
  2. Step 2: Convert to fraction form
    381,675.80/572,513.70 = 352,807.40/x
  3. Step 3: Cross multiply
    381,675.80x = 572,513.70 × 352,807.40
  4. Step 4: Simplify right side
    381,675.80x = 201,987,069,961.38
  5. Step 5: Solve for x
    x = 201,987,069,961.38/381,675.80
  6. Step 6: Final answer
    x = 529,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.