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Finding the Fourth Proportional to 201,397,442.40, 301,919,016.60 and 136,490,781.60

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Solution

The fourth proportional to 201,397,442.40, 301,919,016.60 and 136,490,781.60 is: 204,616,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,442.40 : 301,919,016.60 = 136,490,781.60 : x
  2. Step 2: Convert to fraction form
    201,397,442.40/301,919,016.60 = 136,490,781.60/x
  3. Step 3: Cross multiply
    201,397,442.40x = 301,919,016.60 × 136,490,781.60
  4. Step 4: Simplify right side
    201,397,442.40x = 41,209,162,555,637,376
  5. Step 5: Solve for x
    x = 41,209,162,555,637,376/201,397,442.40
  6. Step 6: Final answer
    x = 204,616,116.59

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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.