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Finding the Fourth Proportional to 306,601.64, 422,748.26 and 209,852.10

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Solution

The fourth proportional to 306,601.64, 422,748.26 and 209,852.10 is: 289,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,601.64 : 422,748.26 = 209,852.10 : x
  2. Step 2: Convert to fraction form
    306,601.64/422,748.26 = 209,852.10/x
  3. Step 3: Cross multiply
    306,601.64x = 422,748.26 × 209,852.10
  4. Step 4: Simplify right side
    306,601.64x = 88,714,610,132.35
  5. Step 5: Solve for x
    x = 88,714,610,132.35/306,601.64
  6. Step 6: Final answer
    x = 289,348.13

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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.