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Finding the Fourth Proportional to 421,832,168.70, 632,653,774.65 and 277,280,216.70

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Solution

The fourth proportional to 421,832,168.70, 632,653,774.65 and 277,280,216.70 is: 415,858,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,832,168.70 : 632,653,774.65 = 277,280,216.70 : x
  2. Step 2: Convert to fraction form
    421,832,168.70/632,653,774.65 = 277,280,216.70/x
  3. Step 3: Cross multiply
    421,832,168.70x = 632,653,774.65 × 277,280,216.70
  4. Step 4: Simplify right side
    421,832,168.70x = 175,422,375,731,024,960
  5. Step 5: Solve for x
    x = 175,422,375,731,024,960/421,832,168.70
  6. Step 6: Final answer
    x = 415,858,222.17

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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.