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Finding the Fourth Proportional to 419,739.64, 578,973.01 and 343,369.60

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Solution

The fourth proportional to 419,739.64, 578,973.01 and 343,369.60 is: 473,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,739.64 : 578,973.01 = 343,369.60 : x
  2. Step 2: Convert to fraction form
    419,739.64/578,973.01 = 343,369.60/x
  3. Step 3: Cross multiply
    419,739.64x = 578,973.01 × 343,369.60
  4. Step 4: Simplify right side
    419,739.64x = 198,801,727,101.21
  5. Step 5: Solve for x
    x = 198,801,727,101.21/419,739.64
  6. Step 6: Final answer
    x = 473,631.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.