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Finding the Fourth Proportional to 201,470,906.40, 302,206,359.60 and 186,018,439.20

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Solution

The fourth proportional to 201,470,906.40, 302,206,359.60 and 186,018,439.20 is: 279,027,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,470,906.40 : 302,206,359.60 = 186,018,439.20 : x
  2. Step 2: Convert to fraction form
    201,470,906.40/302,206,359.60 = 186,018,439.20/x
  3. Step 3: Cross multiply
    201,470,906.40x = 302,206,359.60 × 186,018,439.20
  4. Step 4: Simplify right side
    201,470,906.40x = 56,215,955,329,105,936
  5. Step 5: Solve for x
    x = 56,215,955,329,105,936/201,470,906.40
  6. Step 6: Final answer
    x = 279,027,658.80

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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.