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Finding the Fourth Proportional to 419,906,009.40, 629,859,014.10 and 288,392,076.60

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Solution

The fourth proportional to 419,906,009.40, 629,859,014.10 and 288,392,076.60 is: 432,588,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,009.40 : 629,859,014.10 = 288,392,076.60 : x
  2. Step 2: Convert to fraction form
    419,906,009.40/629,859,014.10 = 288,392,076.60/x
  3. Step 3: Cross multiply
    419,906,009.40x = 629,859,014.10 × 288,392,076.60
  4. Step 4: Simplify right side
    419,906,009.40x = 181,646,349,041,527,712
  5. Step 5: Solve for x
    x = 181,646,349,041,527,712/419,906,009.40
  6. Step 6: Final answer
    x = 432,588,114.90

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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.