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Finding the Fourth Proportional to 340,408.22, 510,688.16 and 103,769.33

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Solution

The fourth proportional to 340,408.22, 510,688.16 and 103,769.33 is: 155,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,408.22 : 510,688.16 = 103,769.33 : x
  2. Step 2: Convert to fraction form
    340,408.22/510,688.16 = 103,769.33/x
  3. Step 3: Cross multiply
    340,408.22x = 510,688.16 × 103,769.33
  4. Step 4: Simplify right side
    340,408.22x = 52,993,767,683.29
  5. Step 5: Solve for x
    x = 52,993,767,683.29/340,408.22
  6. Step 6: Final answer
    x = 155,677.11

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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.