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Finding the Fourth Proportional to 643,728.40, 966,053.40 and 362,947.60

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Solution

The fourth proportional to 643,728.40, 966,053.40 and 362,947.60 is: 544,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,728.40 : 966,053.40 = 362,947.60 : x
  2. Step 2: Convert to fraction form
    643,728.40/966,053.40 = 362,947.60/x
  3. Step 3: Cross multiply
    643,728.40x = 966,053.40 × 362,947.60
  4. Step 4: Simplify right side
    643,728.40x = 350,626,763,001.84
  5. Step 5: Solve for x
    x = 350,626,763,001.84/643,728.40
  6. Step 6: Final answer
    x = 544,681.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.