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Finding the Fourth Proportional to 422,653.82, 583,322.08 and 261,560.74

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Solution

The fourth proportional to 422,653.82, 583,322.08 and 261,560.74 is: 360,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,653.82 : 583,322.08 = 261,560.74 : x
  2. Step 2: Convert to fraction form
    422,653.82/583,322.08 = 261,560.74/x
  3. Step 3: Cross multiply
    422,653.82x = 583,322.08 × 261,560.74
  4. Step 4: Simplify right side
    422,653.82x = 152,574,154,903.14
  5. Step 5: Solve for x
    x = 152,574,154,903.14/422,653.82
  6. Step 6: Final answer
    x = 360,990.83

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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.