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Finding the Fourth Proportional to 289,758,568.80, 434,658,848.40 and 174,494,920.80

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Solution

The fourth proportional to 289,758,568.80, 434,658,848.40 and 174,494,920.80 is: 261,755,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,758,568.80 : 434,658,848.40 = 174,494,920.80 : x
  2. Step 2: Convert to fraction form
    289,758,568.80/434,658,848.40 = 174,494,920.80/x
  3. Step 3: Cross multiply
    289,758,568.80x = 434,658,848.40 × 174,494,920.80
  4. Step 4: Simplify right side
    289,758,568.80x = 75,845,761,326,577,200
  5. Step 5: Solve for x
    x = 75,845,761,326,577,200/289,758,568.80
  6. Step 6: Final answer
    x = 261,755,024.68

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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.