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Finding the Fourth Proportional to 647,232,186.40, 970,848,279.60 and 216,410,682.40

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Solution

The fourth proportional to 647,232,186.40, 970,848,279.60 and 216,410,682.40 is: 324,616,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,232,186.40 : 970,848,279.60 = 216,410,682.40 : x
  2. Step 2: Convert to fraction form
    647,232,186.40/970,848,279.60 = 216,410,682.40/x
  3. Step 3: Cross multiply
    647,232,186.40x = 970,848,279.60 × 216,410,682.40
  4. Step 4: Simplify right side
    647,232,186.40x = 210,101,938,695,102,016
  5. Step 5: Solve for x
    x = 210,101,938,695,102,016/647,232,186.40
  6. Step 6: Final answer
    x = 324,616,023.60

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1.5x scale

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.