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Finding the Fourth Proportional to 429,734,988.80, 644,601,679.16 and 134,652,698.80

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Solution

The fourth proportional to 429,734,988.80, 644,601,679.16 and 134,652,698.80 is: 201,978,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,734,988.80 : 644,601,679.16 = 134,652,698.80 : x
  2. Step 2: Convert to fraction form
    429,734,988.80/644,601,679.16 = 134,652,698.80/x
  3. Step 3: Cross multiply
    429,734,988.80x = 644,601,679.16 × 134,652,698.80
  4. Step 4: Simplify right side
    429,734,988.80x = 86,797,355,749,905,728
  5. Step 5: Solve for x
    x = 86,797,355,749,905,728/429,734,988.80
  6. Step 6: Final answer
    x = 201,978,796.26

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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.