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Finding the Fourth Proportional to 709,122.44, 978,746.76 and 450,947.06

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Solution

The fourth proportional to 709,122.44, 978,746.76 and 450,947.06 is: 622,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,122.44 : 978,746.76 = 450,947.06 : x
  2. Step 2: Convert to fraction form
    709,122.44/978,746.76 = 450,947.06/x
  3. Step 3: Cross multiply
    709,122.44x = 978,746.76 × 450,947.06
  4. Step 4: Simplify right side
    709,122.44x = 441,362,973,906.53
  5. Step 5: Solve for x
    x = 441,362,973,906.53/709,122.44
  6. Step 6: Final answer
    x = 622,407.29

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1.5x scale

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.