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Finding the Fourth Proportional to 399,167,998.80, 598,751,998.20 and 227,175,320.40

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Solution

The fourth proportional to 399,167,998.80, 598,751,998.20 and 227,175,320.40 is: 340,762,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,167,998.80 : 598,751,998.20 = 227,175,320.40 : x
  2. Step 2: Convert to fraction form
    399,167,998.80/598,751,998.20 = 227,175,320.40/x
  3. Step 3: Cross multiply
    399,167,998.80x = 598,751,998.20 × 227,175,320.40
  4. Step 4: Simplify right side
    399,167,998.80x = 136,021,677,031,225,232
  5. Step 5: Solve for x
    x = 136,021,677,031,225,232/399,167,998.80
  6. Step 6: Final answer
    x = 340,762,980.60

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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.