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Finding the Fourth Proportional to 647,694,243.90, 970,106,475.15 and 561,600,801.90

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Solution

The fourth proportional to 647,694,243.90, 970,106,475.15 and 561,600,801.90 is: 841,157,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694,243.90 : 970,106,475.15 = 561,600,801.90 : x
  2. Step 2: Convert to fraction form
    647,694,243.90/970,106,475.15 = 561,600,801.90/x
  3. Step 3: Cross multiply
    647,694,243.90x = 970,106,475.15 × 561,600,801.90
  4. Step 4: Simplify right side
    647,694,243.90x = 544,812,574,372,622,400
  5. Step 5: Solve for x
    x = 544,812,574,372,622,400/647,694,243.90
  6. Step 6: Final answer
    x = 841,157,042.08

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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.