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Finding the Fourth Proportional to 1,381,050,231, 1,905,850,083.36 and 745,970,719.84

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Solution

The fourth proportional to 1,381,050,231, 1,905,850,083.36 and 745,970,719.84 is: 1,029,440,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,050,231 : 1,905,850,083.36 = 745,970,719.84 : x
  2. Step 2: Convert to fraction form
    1,381,050,231/1,905,850,083.36 = 745,970,719.84/x
  3. Step 3: Cross multiply
    1,381,050,231x = 1,905,850,083.36 × 745,970,719.84
  4. Step 4: Simplify right side
    1,381,050,231x = 1,421,708,358,591,183,104
  5. Step 5: Solve for x
    x = 1,421,708,358,591,183,104/1,381,050,231
  6. Step 6: Final answer
    x = 1,029,440,006.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.