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Finding the Fourth Proportional to 1,201,902.56, 1,659,749.28 and 772,927.52

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Solution

The fourth proportional to 1,201,902.56, 1,659,749.28 and 772,927.52 is: 1,067,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,902.56 : 1,659,749.28 = 772,927.52 : x
  2. Step 2: Convert to fraction form
    1,201,902.56/1,659,749.28 = 772,927.52/x
  3. Step 3: Cross multiply
    1,201,902.56x = 1,659,749.28 × 772,927.52
  4. Step 4: Simplify right side
    1,201,902.56x = 1,282,865,894,812.19
  5. Step 5: Solve for x
    x = 1,282,865,894,812.19/1,201,902.56
  6. Step 6: Final answer
    x = 1,067,362.64

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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.