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Finding the Fourth Proportional to 647,382,637.68, 970,656,441.76 and 253,949,217.37

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Solution

The fourth proportional to 647,382,637.68, 970,656,441.76 and 253,949,217.37 is: 380,760,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,382,637.68 : 970,656,441.76 = 253,949,217.37 : x
  2. Step 2: Convert to fraction form
    647,382,637.68/970,656,441.76 = 253,949,217.37/x
  3. Step 3: Cross multiply
    647,382,637.68x = 970,656,441.76 × 253,949,217.37
  4. Step 4: Simplify right side
    647,382,637.68x = 246,497,443,717,991,808
  5. Step 5: Solve for x
    x = 246,497,443,717,991,808/647,382,637.68
  6. Step 6: Final answer
    x = 380,760,047.26

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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.