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Finding the Fourth Proportional to 409,223.12, 611,462.50 and 320,265.68

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Solution

The fourth proportional to 409,223.12, 611,462.50 and 320,265.68 is: 478,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,223.12 : 611,462.50 = 320,265.68 : x
  2. Step 2: Convert to fraction form
    409,223.12/611,462.50 = 320,265.68/x
  3. Step 3: Cross multiply
    409,223.12x = 611,462.50 × 320,265.68
  4. Step 4: Simplify right side
    409,223.12x = 195,830,453,357
  5. Step 5: Solve for x
    x = 195,830,453,357/409,223.12
  6. Step 6: Final answer
    x = 478,542.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.