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Finding the Fourth Proportional to 1,256,222,721.23, 1,730,394,766.10 and 958,347,820.02

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Solution

The fourth proportional to 1,256,222,721.23, 1,730,394,766.10 and 958,347,820.02 is: 1,320,084,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256,222,721.23 : 1,730,394,766.10 = 958,347,820.02 : x
  2. Step 2: Convert to fraction form
    1,256,222,721.23/1,730,394,766.10 = 958,347,820.02/x
  3. Step 3: Cross multiply
    1,256,222,721.23x = 1,730,394,766.10 × 958,347,820.02
  4. Step 4: Simplify right side
    1,256,222,721.23x = 1,658,320,051,859,780,608
  5. Step 5: Solve for x
    x = 1,658,320,051,859,780,608/1,256,222,721.23
  6. Step 6: Final answer
    x = 1,320,084,427.57

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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.