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Finding the Fourth Proportional to 415,197,459.60, 622,371,036.60 and 242,585,422.80

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Solution

The fourth proportional to 415,197,459.60, 622,371,036.60 and 242,585,422.80 is: 363,629,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,197,459.60 : 622,371,036.60 = 242,585,422.80 : x
  2. Step 2: Convert to fraction form
    415,197,459.60/622,371,036.60 = 242,585,422.80/x
  3. Step 3: Cross multiply
    415,197,459.60x = 622,371,036.60 × 242,585,422.80
  4. Step 4: Simplify right side
    415,197,459.60x = 150,978,141,052,085,280
  5. Step 5: Solve for x
    x = 150,978,141,052,085,280/415,197,459.60
  6. Step 6: Final answer
    x = 363,629,732.22

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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.