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Finding the Fourth Proportional to 289,754,848.80, 434,653,268.40 and 174,491,200.80

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Solution

The fourth proportional to 289,754,848.80, 434,653,268.40 and 174,491,200.80 is: 261,749,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,754,848.80 : 434,653,268.40 = 174,491,200.80 : x
  2. Step 2: Convert to fraction form
    289,754,848.80/434,653,268.40 = 174,491,200.80/x
  3. Step 3: Cross multiply
    289,754,848.80x = 434,653,268.40 × 174,491,200.80
  4. Step 4: Simplify right side
    289,754,848.80x = 75,843,170,734,760,688
  5. Step 5: Solve for x
    x = 75,843,170,734,760,688/289,754,848.80
  6. Step 6: Final answer
    x = 261,749,444.57

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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.