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Finding the Fourth Proportional to 1,419,615.71, 1,958,978.46 and 775,034.51

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Solution

The fourth proportional to 1,419,615.71, 1,958,978.46 and 775,034.51 is: 1,069,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,615.71 : 1,958,978.46 = 775,034.51 : x
  2. Step 2: Convert to fraction form
    1,419,615.71/1,958,978.46 = 775,034.51/x
  3. Step 3: Cross multiply
    1,419,615.71x = 1,958,978.46 × 775,034.51
  4. Step 4: Simplify right side
    1,419,615.71x = 1,518,275,901,051.76
  5. Step 5: Solve for x
    x = 1,518,275,901,051.76/1,419,615.71
  6. Step 6: Final answer
    x = 1,069,497.82

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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.