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Finding the Fourth Proportional to 1,220,140,806.86, 1,683,978,369.70 and 744,107,347.28

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Solution

The fourth proportional to 1,220,140,806.86, 1,683,978,369.70 and 744,107,347.28 is: 1,026,980,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,140,806.86 : 1,683,978,369.70 = 744,107,347.28 : x
  2. Step 2: Convert to fraction form
    1,220,140,806.86/1,683,978,369.70 = 744,107,347.28/x
  3. Step 3: Cross multiply
    1,220,140,806.86x = 1,683,978,369.70 × 744,107,347.28
  4. Step 4: Simplify right side
    1,220,140,806.86x = 1,253,060,677,554,366,208
  5. Step 5: Solve for x
    x = 1,253,060,677,554,366,208/1,220,140,806.86
  6. Step 6: Final answer
    x = 1,026,980,386.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.