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Finding the Fourth Proportional to 403,669.30, 605,503.95 and 309,190.90

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Solution

The fourth proportional to 403,669.30, 605,503.95 and 309,190.90 is: 463,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,669.30 : 605,503.95 = 309,190.90 : x
  2. Step 2: Convert to fraction form
    403,669.30/605,503.95 = 309,190.90/x
  3. Step 3: Cross multiply
    403,669.30x = 605,503.95 × 309,190.90
  4. Step 4: Simplify right side
    403,669.30x = 187,216,311,254.06
  5. Step 5: Solve for x
    x = 187,216,311,254.06/403,669.30
  6. Step 6: Final answer
    x = 463,786.35

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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.