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Finding the Fourth Proportional to 647,260,460.80, 971,016,662.40 and 187,213,638.40

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Solution

The fourth proportional to 647,260,460.80, 971,016,662.40 and 187,213,638.40 is: 280,856,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,260,460.80 : 971,016,662.40 = 187,213,638.40 : x
  2. Step 2: Convert to fraction form
    647,260,460.80/971,016,662.40 = 187,213,638.40/x
  3. Step 3: Cross multiply
    647,260,460.80x = 971,016,662.40 × 187,213,638.40
  4. Step 4: Simplify right side
    647,260,460.80x = 181,787,562,314,928,480
  5. Step 5: Solve for x
    x = 181,787,562,314,928,480/647,260,460.80
  6. Step 6: Final answer
    x = 280,856,893.51

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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.