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Finding the Fourth Proportional to 647,074,207.80, 970,611,311.70 and 543,762,077.40

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Solution

The fourth proportional to 647,074,207.80, 970,611,311.70 and 543,762,077.40 is: 815,643,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,074,207.80 : 970,611,311.70 = 543,762,077.40 : x
  2. Step 2: Convert to fraction form
    647,074,207.80/970,611,311.70 = 543,762,077.40/x
  3. Step 3: Cross multiply
    647,074,207.80x = 970,611,311.70 × 543,762,077.40
  4. Step 4: Simplify right side
    647,074,207.80x = 527,781,623,197,930,944
  5. Step 5: Solve for x
    x = 527,781,623,197,930,944/647,074,207.80
  6. Step 6: Final answer
    x = 815,643,116.10

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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.