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Finding the Fourth Proportional to 1,296,363.90, 1,944,533.05 and 409,899.90

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Solution

The fourth proportional to 1,296,363.90, 1,944,533.05 and 409,899.90 is: 614,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,363.90 : 1,944,533.05 = 409,899.90 : x
  2. Step 2: Convert to fraction form
    1,296,363.90/1,944,533.05 = 409,899.90/x
  3. Step 3: Cross multiply
    1,296,363.90x = 1,944,533.05 × 409,899.90
  4. Step 4: Simplify right side
    1,296,363.90x = 797,063,902,741.70
  5. Step 5: Solve for x
    x = 797,063,902,741.70/1,296,363.90
  6. Step 6: Final answer
    x = 614,845.80

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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.