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Finding the Fourth Proportional to 318,826.84, 478,269.60 and 82,170.40

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Solution

The fourth proportional to 318,826.84, 478,269.60 and 82,170.40 is: 123,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,826.84 : 478,269.60 = 82,170.40 : x
  2. Step 2: Convert to fraction form
    318,826.84/478,269.60 = 82,170.40/x
  3. Step 3: Cross multiply
    318,826.84x = 478,269.60 × 82,170.40
  4. Step 4: Simplify right side
    318,826.84x = 39,299,604,339.84
  5. Step 5: Solve for x
    x = 39,299,604,339.84/318,826.84
  6. Step 6: Final answer
    x = 123,263.16

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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.