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Finding the Fourth Proportional to 348,408.20, 522,482.70 and 138,002.60

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Solution

The fourth proportional to 348,408.20, 522,482.70 and 138,002.60 is: 206,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,408.20 : 522,482.70 = 138,002.60 : x
  2. Step 2: Convert to fraction form
    348,408.20/522,482.70 = 138,002.60/x
  3. Step 3: Cross multiply
    348,408.20x = 522,482.70 × 138,002.60
  4. Step 4: Simplify right side
    348,408.20x = 72,103,971,055.02
  5. Step 5: Solve for x
    x = 72,103,971,055.02/348,408.20
  6. Step 6: Final answer
    x = 206,952.57

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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.