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Finding the Fourth Proportional to 309,114,461.80, 463,671,692.70 and 165,787,229.80

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Solution

The fourth proportional to 309,114,461.80, 463,671,692.70 and 165,787,229.80 is: 248,680,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,114,461.80 : 463,671,692.70 = 165,787,229.80 : x
  2. Step 2: Convert to fraction form
    309,114,461.80/463,671,692.70 = 165,787,229.80/x
  3. Step 3: Cross multiply
    309,114,461.80x = 463,671,692.70 × 165,787,229.80
  4. Step 4: Simplify right side
    309,114,461.80x = 76,870,845,469,409,888
  5. Step 5: Solve for x
    x = 76,870,845,469,409,888/309,114,461.80
  6. Step 6: Final answer
    x = 248,680,844.70

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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.