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Finding the Fourth Proportional to 281,805,216.40, 422,035,978.20 and 281,805,216.40

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Solution

The fourth proportional to 281,805,216.40, 422,035,978.20 and 281,805,216.40 is: 422,035,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,805,216.40 : 422,035,978.20 = 281,805,216.40 : x
  2. Step 2: Convert to fraction form
    281,805,216.40/422,035,978.20 = 281,805,216.40/x
  3. Step 3: Cross multiply
    281,805,216.40x = 422,035,978.20 × 281,805,216.40
  4. Step 4: Simplify right side
    281,805,216.40x = 118,931,940,165,236,672
  5. Step 5: Solve for x
    x = 118,931,940,165,236,672/281,805,216.40
  6. Step 6: Final answer
    x = 422,035,978.20

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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.