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Finding the Fourth Proportional to 351,857.72, 528,517.71 and 284,465.93

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Solution

The fourth proportional to 351,857.72, 528,517.71 and 284,465.93 is: 427,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,857.72 : 528,517.71 = 284,465.93 : x
  2. Step 2: Convert to fraction form
    351,857.72/528,517.71 = 284,465.93/x
  3. Step 3: Cross multiply
    351,857.72x = 528,517.71 × 284,465.93
  4. Step 4: Simplify right side
    351,857.72x = 150,345,279,254.03
  5. Step 5: Solve for x
    x = 150,345,279,254.03/351,857.72
  6. Step 6: Final answer
    x = 427,289.98

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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.