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Finding the Fourth Proportional to 403,430.55, 605,145.21 and 122,947.80

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Solution

The fourth proportional to 403,430.55, 605,145.21 and 122,947.80 is: 184,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,430.55 : 605,145.21 = 122,947.80 : x
  2. Step 2: Convert to fraction form
    403,430.55/605,145.21 = 122,947.80/x
  3. Step 3: Cross multiply
    403,430.55x = 605,145.21 × 122,947.80
  4. Step 4: Simplify right side
    403,430.55x = 74,401,272,250.04
  5. Step 5: Solve for x
    x = 74,401,272,250.04/403,430.55
  6. Step 6: Final answer
    x = 184,421.51

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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.