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Finding the Fourth Proportional to 1,409,447.19, 1,945,038.35 and 764,867.37

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Solution

The fourth proportional to 1,409,447.19, 1,945,038.35 and 764,867.37 is: 1,055,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,447.19 : 1,945,038.35 = 764,867.37 : x
  2. Step 2: Convert to fraction form
    1,409,447.19/1,945,038.35 = 764,867.37/x
  3. Step 3: Cross multiply
    1,409,447.19x = 1,945,038.35 × 764,867.37
  4. Step 4: Simplify right side
    1,409,447.19x = 1,487,696,363,489.30
  5. Step 5: Solve for x
    x = 1,487,696,363,489.30/1,409,447.19
  6. Step 6: Final answer
    x = 1,055,517.63

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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.