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Finding the Fourth Proportional to 213,956,492.80, 320,916,076.80 and 70,349,324.80

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Solution

The fourth proportional to 213,956,492.80, 320,916,076.80 and 70,349,324.80 is: 105,517,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,956,492.80 : 320,916,076.80 = 70,349,324.80 : x
  2. Step 2: Convert to fraction form
    213,956,492.80/320,916,076.80 = 70,349,324.80/x
  3. Step 3: Cross multiply
    213,956,492.80x = 320,916,076.80 × 70,349,324.80
  4. Step 4: Simplify right side
    213,956,492.80x = 22,576,229,320,344,944
  5. Step 5: Solve for x
    x = 22,576,229,320,344,944/213,956,492.80
  6. Step 6: Final answer
    x = 105,517,850.97

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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.