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Finding the Fourth Proportional to 1,682,559, 2,523,843.90 and 420,386.76

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Solution

The fourth proportional to 1,682,559, 2,523,843.90 and 420,386.76 is: 630,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,559 : 2,523,843.90 = 420,386.76 : x
  2. Step 2: Convert to fraction form
    1,682,559/2,523,843.90 = 420,386.76/x
  3. Step 3: Cross multiply
    1,682,559x = 2,523,843.90 × 420,386.76
  4. Step 4: Simplify right side
    1,682,559x = 1,060,990,559,866.76
  5. Step 5: Solve for x
    x = 1,060,990,559,866.76/1,682,559
  6. Step 6: Final answer
    x = 630,581.49

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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.