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Finding the Fourth Proportional to 647,694,251.40, 970,106,486.40 and 561,600,809.40

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Solution

The fourth proportional to 647,694,251.40, 970,106,486.40 and 561,600,809.40 is: 841,157,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694,251.40 : 970,106,486.40 = 561,600,809.40 : x
  2. Step 2: Convert to fraction form
    647,694,251.40/970,106,486.40 = 561,600,809.40/x
  3. Step 3: Cross multiply
    647,694,251.40x = 970,106,486.40 × 561,600,809.40
  4. Step 4: Simplify right side
    647,694,251.40x = 544,812,587,966,430,080
  5. Step 5: Solve for x
    x = 544,812,587,966,430,080/647,694,251.40
  6. Step 6: Final answer
    x = 841,157,053.33

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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.