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Finding the Fourth Proportional to 284,978,832.96, 393,237,611.82 and 159,537,897.84

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Solution

The fourth proportional to 284,978,832.96, 393,237,611.82 and 159,537,897.84 is: 220,143,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,978,832.96 : 393,237,611.82 = 159,537,897.84 : x
  2. Step 2: Convert to fraction form
    284,978,832.96/393,237,611.82 = 159,537,897.84/x
  3. Step 3: Cross multiply
    284,978,832.96x = 393,237,611.82 × 159,537,897.84
  4. Step 4: Simplify right side
    284,978,832.96x = 62,736,301,941,384,736
  5. Step 5: Solve for x
    x = 62,736,301,941,384,736/284,978,832.96
  6. Step 6: Final answer
    x = 220,143,725.38

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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.