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Finding the Fourth Proportional to 298,950,906.40, 448,426,359.60 and 257,339,076.10

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Solution

The fourth proportional to 298,950,906.40, 448,426,359.60 and 257,339,076.10 is: 386,008,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,950,906.40 : 448,426,359.60 = 257,339,076.10 : x
  2. Step 2: Convert to fraction form
    298,950,906.40/448,426,359.60 = 257,339,076.10/x
  3. Step 3: Cross multiply
    298,950,906.40x = 448,426,359.60 × 257,339,076.10
  4. Step 4: Simplify right side
    298,950,906.40x = 115,397,625,078,350,368
  5. Step 5: Solve for x
    x = 115,397,625,078,350,368/298,950,906.40
  6. Step 6: Final answer
    x = 386,008,614.15

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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.