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Finding the Fourth Proportional to 403,735.80, 605,085.30 and 309,775.80

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Solution

The fourth proportional to 403,735.80, 605,085.30 and 309,775.80 is: 464,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,735.80 : 605,085.30 = 309,775.80 : x
  2. Step 2: Convert to fraction form
    403,735.80/605,085.30 = 309,775.80/x
  3. Step 3: Cross multiply
    403,735.80x = 605,085.30 × 309,775.80
  4. Step 4: Simplify right side
    403,735.80x = 187,440,782,875.74
  5. Step 5: Solve for x
    x = 187,440,782,875.74/403,735.80
  6. Step 6: Final answer
    x = 464,265.95

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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.