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Finding the Fourth Proportional to 289,631,735.80, 434,447,603.70 and 167,187,729.40

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Solution

The fourth proportional to 289,631,735.80, 434,447,603.70 and 167,187,729.40 is: 250,781,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,631,735.80 : 434,447,603.70 = 167,187,729.40 : x
  2. Step 2: Convert to fraction form
    289,631,735.80/434,447,603.70 = 167,187,729.40/x
  3. Step 3: Cross multiply
    289,631,735.80x = 434,447,603.70 × 167,187,729.40
  4. Step 4: Simplify right side
    289,631,735.80x = 72,634,308,405,874,032
  5. Step 5: Solve for x
    x = 72,634,308,405,874,032/289,631,735.80
  6. Step 6: Final answer
    x = 250,781,594.10

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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.