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Finding the Fourth Proportional to 348,477.84, 522,576.05 and 135,133.42

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Solution

The fourth proportional to 348,477.84, 522,576.05 and 135,133.42 is: 202,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,477.84 : 522,576.05 = 135,133.42 : x
  2. Step 2: Convert to fraction form
    348,477.84/522,576.05 = 135,133.42/x
  3. Step 3: Cross multiply
    348,477.84x = 522,576.05 × 135,133.42
  4. Step 4: Simplify right side
    348,477.84x = 70,617,488,846.59
  5. Step 5: Solve for x
    x = 70,617,488,846.59/348,477.84
  6. Step 6: Final answer
    x = 202,645.57

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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.