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Finding the Fourth Proportional to 587,322, 810,435.60 and 345,551.40

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Solution

The fourth proportional to 587,322, 810,435.60 and 345,551.40 is: 476,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,322 : 810,435.60 = 345,551.40 : x
  2. Step 2: Convert to fraction form
    587,322/810,435.60 = 345,551.40/x
  3. Step 3: Cross multiply
    587,322x = 810,435.60 × 345,551.40
  4. Step 4: Simplify right side
    587,322x = 280,047,156,189.84
  5. Step 5: Solve for x
    x = 280,047,156,189.84/587,322
  6. Step 6: Final answer
    x = 476,820.48

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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.