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Finding the Fourth Proportional to 431,081,978.40, 646,622,967.60 and 212,836,874.40

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Solution

The fourth proportional to 431,081,978.40, 646,622,967.60 and 212,836,874.40 is: 319,255,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,081,978.40 : 646,622,967.60 = 212,836,874.40 : x
  2. Step 2: Convert to fraction form
    431,081,978.40/646,622,967.60 = 212,836,874.40/x
  3. Step 3: Cross multiply
    431,081,978.40x = 646,622,967.60 × 212,836,874.40
  4. Step 4: Simplify right side
    431,081,978.40x = 137,625,211,339,236,480
  5. Step 5: Solve for x
    x = 137,625,211,339,236,480/431,081,978.40
  6. Step 6: Final answer
    x = 319,255,311.60

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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.