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Finding the Fourth Proportional to 289,675,307.80, 434,589,944.10 and 125,842,763.80

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Solution

The fourth proportional to 289,675,307.80, 434,589,944.10 and 125,842,763.80 is: 188,797,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,675,307.80 : 434,589,944.10 = 125,842,763.80 : x
  2. Step 2: Convert to fraction form
    289,675,307.80/434,589,944.10 = 125,842,763.80/x
  3. Step 3: Cross multiply
    289,675,307.80x = 434,589,944.10 × 125,842,763.80
  4. Step 4: Simplify right side
    289,675,307.80x = 54,689,999,685,231,504
  5. Step 5: Solve for x
    x = 54,689,999,685,231,504/289,675,307.80
  6. Step 6: Final answer
    x = 188,797,588.93

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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.