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Finding the Fourth Proportional to 304,977,203.60, 420,871,803 and 165,747,972.20

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Solution

The fourth proportional to 304,977,203.60, 420,871,803 and 165,747,972.20 is: 228,733,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,977,203.60 : 420,871,803 = 165,747,972.20 : x
  2. Step 2: Convert to fraction form
    304,977,203.60/420,871,803 = 165,747,972.20/x
  3. Step 3: Cross multiply
    304,977,203.60x = 420,871,803 × 165,747,972.20
  4. Step 4: Simplify right side
    304,977,203.60x = 69,758,647,903,407,872
  5. Step 5: Solve for x
    x = 69,758,647,903,407,872/304,977,203.60
  6. Step 6: Final answer
    x = 228,733,974.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.