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Finding the Fourth Proportional to 308,953,648.80, 463,729,071.60 and 188,021,296.80

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Solution

The fourth proportional to 308,953,648.80, 463,729,071.60 and 188,021,296.80 is: 282,213,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,953,648.80 : 463,729,071.60 = 188,021,296.80 : x
  2. Step 2: Convert to fraction form
    308,953,648.80/463,729,071.60 = 188,021,296.80/x
  3. Step 3: Cross multiply
    308,953,648.80x = 463,729,071.60 × 188,021,296.80
  4. Step 4: Simplify right side
    308,953,648.80x = 87,190,941,406,092,064
  5. Step 5: Solve for x
    x = 87,190,941,406,092,064/308,953,648.80
  6. Step 6: Final answer
    x = 282,213,664.56

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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.