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Finding the Fourth Proportional to 306,443.13, 422,905.16 and 255,370.35

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Solution

The fourth proportional to 306,443.13, 422,905.16 and 255,370.35 is: 352,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,443.13 : 422,905.16 = 255,370.35 : x
  2. Step 2: Convert to fraction form
    306,443.13/422,905.16 = 255,370.35/x
  3. Step 3: Cross multiply
    306,443.13x = 422,905.16 × 255,370.35
  4. Step 4: Simplify right side
    306,443.13x = 107,997,438,726.01
  5. Step 5: Solve for x
    x = 107,997,438,726.01/306,443.13
  6. Step 6: Final answer
    x = 352,422.45

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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.