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Finding the Fourth Proportional to 1,409,742.02, 1,945,439.16 and 765,162.20

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Solution

The fourth proportional to 1,409,742.02, 1,945,439.16 and 765,162.20 is: 1,055,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,742.02 : 1,945,439.16 = 765,162.20 : x
  2. Step 2: Convert to fraction form
    1,409,742.02/1,945,439.16 = 765,162.20/x
  3. Step 3: Cross multiply
    1,409,742.02x = 1,945,439.16 × 765,162.20
  4. Step 4: Simplify right side
    1,409,742.02x = 1,488,576,507,631.75
  5. Step 5: Solve for x
    x = 1,488,576,507,631.75/1,409,742.02
  6. Step 6: Final answer
    x = 1,055,921.22

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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.