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Finding the Fourth Proportional to 643,765.60, 965,648.40 and 223,055.20

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Solution

The fourth proportional to 643,765.60, 965,648.40 and 223,055.20 is: 334,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,765.60 : 965,648.40 = 223,055.20 : x
  2. Step 2: Convert to fraction form
    643,765.60/965,648.40 = 223,055.20/x
  3. Step 3: Cross multiply
    643,765.60x = 965,648.40 × 223,055.20
  4. Step 4: Simplify right side
    643,765.60x = 215,392,896,991.68
  5. Step 5: Solve for x
    x = 215,392,896,991.68/643,765.60
  6. Step 6: Final answer
    x = 334,582.80

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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.