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Finding the Fourth Proportional to 208,591.20, 312,692.40 and 145,411.20

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Solution

The fourth proportional to 208,591.20, 312,692.40 and 145,411.20 is: 217,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,591.20 : 312,692.40 = 145,411.20 : x
  2. Step 2: Convert to fraction form
    208,591.20/312,692.40 = 145,411.20/x
  3. Step 3: Cross multiply
    208,591.20x = 312,692.40 × 145,411.20
  4. Step 4: Simplify right side
    208,591.20x = 45,468,977,114.88
  5. Step 5: Solve for x
    x = 45,468,977,114.88/208,591.20
  6. Step 6: Final answer
    x = 217,981.28

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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.