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Finding the Fourth Proportional to 285,917,608.40, 428,876,412.60 and 238,300,494.80

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Solution

The fourth proportional to 285,917,608.40, 428,876,412.60 and 238,300,494.80 is: 357,450,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,917,608.40 : 428,876,412.60 = 238,300,494.80 : x
  2. Step 2: Convert to fraction form
    285,917,608.40/428,876,412.60 = 238,300,494.80/x
  3. Step 3: Cross multiply
    285,917,608.40x = 428,876,412.60 × 238,300,494.80
  4. Step 4: Simplify right side
    285,917,608.40x = 102,201,461,330,628,960
  5. Step 5: Solve for x
    x = 102,201,461,330,628,960/285,917,608.40
  6. Step 6: Final answer
    x = 357,450,742.20

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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.