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Finding the Fourth Proportional to 228,107,817.82, 314,794,978.28 and 129,003,385.20

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Solution

The fourth proportional to 228,107,817.82, 314,794,978.28 and 129,003,385.20 is: 178,028,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,107,817.82 : 314,794,978.28 = 129,003,385.20 : x
  2. Step 2: Convert to fraction form
    228,107,817.82/314,794,978.28 = 129,003,385.20/x
  3. Step 3: Cross multiply
    228,107,817.82x = 314,794,978.28 × 129,003,385.20
  4. Step 4: Simplify right side
    228,107,817.82x = 40,609,617,842,080,472
  5. Step 5: Solve for x
    x = 40,609,617,842,080,472/228,107,817.82
  6. Step 6: Final answer
    x = 178,028,172.07

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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.