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Finding the Fourth Proportional to 285,849,346.40, 428,774,019.60 and 259,489,872.80

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Solution

The fourth proportional to 285,849,346.40, 428,774,019.60 and 259,489,872.80 is: 389,234,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,849,346.40 : 428,774,019.60 = 259,489,872.80 : x
  2. Step 2: Convert to fraction form
    285,849,346.40/428,774,019.60 = 259,489,872.80/x
  3. Step 3: Cross multiply
    285,849,346.40x = 428,774,019.60 × 259,489,872.80
  4. Step 4: Simplify right side
    285,849,346.40x = 111,262,515,805,948,720
  5. Step 5: Solve for x
    x = 111,262,515,805,948,720/285,849,346.40
  6. Step 6: Final answer
    x = 389,234,809.20

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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.