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Finding the Fourth Proportional to 289,655,999.70, 434,483,999.55 and 276,219,071.70

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Solution

The fourth proportional to 289,655,999.70, 434,483,999.55 and 276,219,071.70 is: 414,328,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,655,999.70 : 434,483,999.55 = 276,219,071.70 : x
  2. Step 2: Convert to fraction form
    289,655,999.70/434,483,999.55 = 276,219,071.70/x
  3. Step 3: Cross multiply
    289,655,999.70x = 434,483,999.55 × 276,219,071.70
  4. Step 4: Simplify right side
    289,655,999.70x = 120,012,767,024,204,208
  5. Step 5: Solve for x
    x = 120,012,767,024,204,208/289,655,999.70
  6. Step 6: Final answer
    x = 414,328,607.55

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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.