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Finding the Fourth Proportional to 403,213.40, 604,820.10 and 328,563.80

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Solution

The fourth proportional to 403,213.40, 604,820.10 and 328,563.80 is: 492,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,213.40 : 604,820.10 = 328,563.80 : x
  2. Step 2: Convert to fraction form
    403,213.40/604,820.10 = 328,563.80/x
  3. Step 3: Cross multiply
    403,213.40x = 604,820.10 × 328,563.80
  4. Step 4: Simplify right side
    403,213.40x = 198,721,990,372.38
  5. Step 5: Solve for x
    x = 198,721,990,372.38/403,213.40
  6. Step 6: Final answer
    x = 492,845.70

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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.