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Finding the Fourth Proportional to 204,415, 306,622.50 and 56,671

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Solution

The fourth proportional to 204,415, 306,622.50 and 56,671 is: 85,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,415 : 306,622.50 = 56,671 : x
  2. Step 2: Convert to fraction form
    204,415/306,622.50 = 56,671/x
  3. Step 3: Cross multiply
    204,415x = 306,622.50 × 56,671
  4. Step 4: Simplify right side
    204,415x = 17,376,603,697.50
  5. Step 5: Solve for x
    x = 17,376,603,697.50/204,415
  6. Step 6: Final answer
    x = 85,006.50

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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.