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Finding the Fourth Proportional to 313,795, 470,692.50 and 92,179

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Solution

The fourth proportional to 313,795, 470,692.50 and 92,179 is: 138,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,795 : 470,692.50 = 92,179 : x
  2. Step 2: Convert to fraction form
    313,795/470,692.50 = 92,179/x
  3. Step 3: Cross multiply
    313,795x = 470,692.50 × 92,179
  4. Step 4: Simplify right side
    313,795x = 43,387,963,957.50
  5. Step 5: Solve for x
    x = 43,387,963,957.50/313,795
  6. Step 6: Final answer
    x = 138,268.50

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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.