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Finding the Fourth Proportional to 1,057,900.80, 1,584,226.80 and 847,948.80

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Solution

The fourth proportional to 1,057,900.80, 1,584,226.80 and 847,948.80 is: 1,269,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,900.80 : 1,584,226.80 = 847,948.80 : x
  2. Step 2: Convert to fraction form
    1,057,900.80/1,584,226.80 = 847,948.80/x
  3. Step 3: Cross multiply
    1,057,900.80x = 1,584,226.80 × 847,948.80
  4. Step 4: Simplify right side
    1,057,900.80x = 1,343,343,213,987.84
  5. Step 5: Solve for x
    x = 1,343,343,213,987.84/1,057,900.80
  6. Step 6: Final answer
    x = 1,269,819.64

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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.