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Finding the Fourth Proportional to 922,134, 1,272,583.80 and 519,726

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Solution

The fourth proportional to 922,134, 1,272,583.80 and 519,726 is: 717,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,134 : 1,272,583.80 = 519,726 : x
  2. Step 2: Convert to fraction form
    922,134/1,272,583.80 = 519,726/x
  3. Step 3: Cross multiply
    922,134x = 1,272,583.80 × 519,726
  4. Step 4: Simplify right side
    922,134x = 661,394,888,038.80
  5. Step 5: Solve for x
    x = 661,394,888,038.80/922,134
  6. Step 6: Final answer
    x = 717,243.79

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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.