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Finding the Fourth Proportional to 343,003.02, 512,057.49 and 320,209.13

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Solution

The fourth proportional to 343,003.02, 512,057.49 and 320,209.13 is: 478,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,003.02 : 512,057.49 = 320,209.13 : x
  2. Step 2: Convert to fraction form
    343,003.02/512,057.49 = 320,209.13/x
  3. Step 3: Cross multiply
    343,003.02x = 512,057.49 × 320,209.13
  4. Step 4: Simplify right side
    343,003.02x = 163,965,482,742.81
  5. Step 5: Solve for x
    x = 163,965,482,742.81/343,003.02
  6. Step 6: Final answer
    x = 478,029.27

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