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Finding the Fourth Proportional to 306,402.72, 422,663.07 and 183,863.40

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Solution

The fourth proportional to 306,402.72, 422,663.07 and 183,863.40 is: 253,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,402.72 : 422,663.07 = 183,863.40 : x
  2. Step 2: Convert to fraction form
    306,402.72/422,663.07 = 183,863.40/x
  3. Step 3: Cross multiply
    306,402.72x = 422,663.07 × 183,863.40
  4. Step 4: Simplify right side
    306,402.72x = 77,712,269,104.64
  5. Step 5: Solve for x
    x = 77,712,269,104.64/306,402.72
  6. Step 6: Final answer
    x = 253,627.87

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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.