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Finding the Fourth Proportional to 650,322.08, 897,141.36 and 420,953.36

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Solution

The fourth proportional to 650,322.08, 897,141.36 and 420,953.36 is: 580,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,322.08 : 897,141.36 = 420,953.36 : x
  2. Step 2: Convert to fraction form
    650,322.08/897,141.36 = 420,953.36/x
  3. Step 3: Cross multiply
    650,322.08x = 897,141.36 × 420,953.36
  4. Step 4: Simplify right side
    650,322.08x = 377,654,669,886.97
  5. Step 5: Solve for x
    x = 377,654,669,886.97/650,322.08
  6. Step 6: Final answer
    x = 580,719.43

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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.