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Finding the Fourth Proportional to 310,743,692.70, 465,443,692.65 and 276,703,475.10

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Solution

The fourth proportional to 310,743,692.70, 465,443,692.65 and 276,703,475.10 is: 414,456,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,743,692.70 : 465,443,692.65 = 276,703,475.10 : x
  2. Step 2: Convert to fraction form
    310,743,692.70/465,443,692.65 = 276,703,475.10/x
  3. Step 3: Cross multiply
    310,743,692.70x = 465,443,692.65 × 276,703,475.10
  4. Step 4: Simplify right side
    310,743,692.70x = 128,789,887,219,631,328
  5. Step 5: Solve for x
    x = 128,789,887,219,631,328/310,743,692.70
  6. Step 6: Final answer
    x = 414,456,963.23

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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.