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Finding the Fourth Proportional to 323,319.36, 446,385 and 238,288.32

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Solution

The fourth proportional to 323,319.36, 446,385 and 238,288.32 is: 328,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,319.36 : 446,385 = 238,288.32 : x
  2. Step 2: Convert to fraction form
    323,319.36/446,385 = 238,288.32/x
  3. Step 3: Cross multiply
    323,319.36x = 446,385 × 238,288.32
  4. Step 4: Simplify right side
    323,319.36x = 106,368,331,723.20
  5. Step 5: Solve for x
    x = 106,368,331,723.20/323,319.36
  6. Step 6: Final answer
    x = 328,988.44

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1.5x scale

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.