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Finding the Fourth Proportional to 314,928,692.80, 472,393,039.20 and 274,617,908.80

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Solution

The fourth proportional to 314,928,692.80, 472,393,039.20 and 274,617,908.80 is: 411,926,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,692.80 : 472,393,039.20 = 274,617,908.80 : x
  2. Step 2: Convert to fraction form
    314,928,692.80/472,393,039.20 = 274,617,908.80/x
  3. Step 3: Cross multiply
    314,928,692.80x = 472,393,039.20 × 274,617,908.80
  4. Step 4: Simplify right side
    314,928,692.80x = 129,727,588,556,780,432
  5. Step 5: Solve for x
    x = 129,727,588,556,780,432/314,928,692.80
  6. Step 6: Final answer
    x = 411,926,863.20

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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.