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Finding the Fourth Proportional to 853,477.64, 1,279,935.03 and 284,702

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Solution

The fourth proportional to 853,477.64, 1,279,935.03 and 284,702 is: 426,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,477.64 : 1,279,935.03 = 284,702 : x
  2. Step 2: Convert to fraction form
    853,477.64/1,279,935.03 = 284,702/x
  3. Step 3: Cross multiply
    853,477.64x = 1,279,935.03 × 284,702
  4. Step 4: Simplify right side
    853,477.64x = 364,400,062,911.06
  5. Step 5: Solve for x
    x = 364,400,062,911.06/853,477.64
  6. Step 6: Final answer
    x = 426,959.12

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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.