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Finding the Fourth Proportional to 210,384,101.70, 315,576,152.55 and 210,384,101.70

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Solution

The fourth proportional to 210,384,101.70, 315,576,152.55 and 210,384,101.70 is: 315,576,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,384,101.70 : 315,576,152.55 = 210,384,101.70 : x
  2. Step 2: Convert to fraction form
    210,384,101.70/315,576,152.55 = 210,384,101.70/x
  3. Step 3: Cross multiply
    210,384,101.70x = 315,576,152.55 × 210,384,101.70
  4. Step 4: Simplify right side
    210,384,101.70x = 66,392,205,372,173,912
  5. Step 5: Solve for x
    x = 66,392,205,372,173,912/210,384,101.70
  6. Step 6: Final answer
    x = 315,576,152.55

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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.