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Finding the Fourth Proportional to 774,086, 1,160,830.74 and 300,709.04

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Solution

The fourth proportional to 774,086, 1,160,830.74 and 300,709.04 is: 450,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,086 : 1,160,830.74 = 300,709.04 : x
  2. Step 2: Convert to fraction form
    774,086/1,160,830.74 = 300,709.04/x
  3. Step 3: Cross multiply
    774,086x = 1,160,830.74 × 300,709.04
  4. Step 4: Simplify right side
    774,086x = 349,072,297,427.89
  5. Step 5: Solve for x
    x = 349,072,297,427.89/774,086
  6. Step 6: Final answer
    x = 450,947.69

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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.