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Finding the Fourth Proportional to 1,409,471.47, 1,945,071.80 and 764,891.64

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Solution

The fourth proportional to 1,409,471.47, 1,945,071.80 and 764,891.64 is: 1,055,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,471.47 : 1,945,071.80 = 764,891.64 : x
  2. Step 2: Convert to fraction form
    1,409,471.47/1,945,071.80 = 764,891.64/x
  3. Step 3: Cross multiply
    1,409,471.47x = 1,945,071.80 × 764,891.64
  4. Step 4: Simplify right side
    1,409,471.47x = 1,487,769,159,019.75
  5. Step 5: Solve for x
    x = 1,487,769,159,019.75/1,409,471.47
  6. Step 6: Final answer
    x = 1,055,551.10

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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.