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Finding the Fourth Proportional to 664,758.06, 997,138.71 and 265,431.30

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Solution

The fourth proportional to 664,758.06, 997,138.71 and 265,431.30 is: 398,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,758.06 : 997,138.71 = 265,431.30 : x
  2. Step 2: Convert to fraction form
    664,758.06/997,138.71 = 265,431.30/x
  3. Step 3: Cross multiply
    664,758.06x = 997,138.71 × 265,431.30
  4. Step 4: Simplify right side
    664,758.06x = 264,671,824,075.62
  5. Step 5: Solve for x
    x = 264,671,824,075.62/664,758.06
  6. Step 6: Final answer
    x = 398,147.60

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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.