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Finding the Fourth Proportional to 208,009,863.70, 312,014,795.55 and 147,543,687.70

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Solution

The fourth proportional to 208,009,863.70, 312,014,795.55 and 147,543,687.70 is: 221,315,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,009,863.70 : 312,014,795.55 = 147,543,687.70 : x
  2. Step 2: Convert to fraction form
    208,009,863.70/312,014,795.55 = 147,543,687.70/x
  3. Step 3: Cross multiply
    208,009,863.70x = 312,014,795.55 × 147,543,687.70
  4. Step 4: Simplify right side
    208,009,863.70x = 46,035,813,552,408,544
  5. Step 5: Solve for x
    x = 46,035,813,552,408,544/208,009,863.70
  6. Step 6: Final answer
    x = 221,315,531.55

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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.