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Finding the Fourth Proportional to 1,380,449.60, 1,905,016.56 and 776,837.60

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Solution

The fourth proportional to 1,380,449.60, 1,905,016.56 and 776,837.60 is: 1,072,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,449.60 : 1,905,016.56 = 776,837.60 : x
  2. Step 2: Convert to fraction form
    1,380,449.60/1,905,016.56 = 776,837.60/x
  3. Step 3: Cross multiply
    1,380,449.60x = 1,905,016.56 × 776,837.60
  4. Step 4: Simplify right side
    1,380,449.60x = 1,479,888,492,430.66
  5. Step 5: Solve for x
    x = 1,479,888,492,430.66/1,380,449.60
  6. Step 6: Final answer
    x = 1,072,033.70

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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.