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Finding the Fourth Proportional to 404,136, 557,419.32 and 343,284.48

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Solution

The fourth proportional to 404,136, 557,419.32 and 343,284.48 is: 473,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,136 : 557,419.32 = 343,284.48 : x
  2. Step 2: Convert to fraction form
    404,136/557,419.32 = 343,284.48/x
  3. Step 3: Cross multiply
    404,136x = 557,419.32 × 343,284.48
  4. Step 4: Simplify right side
    404,136x = 191,353,401,408.15
  5. Step 5: Solve for x
    x = 191,353,401,408.15/404,136
  6. Step 6: Final answer
    x = 473,487.64

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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.