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Finding the Fourth Proportional to 360,433,923, 540,704,837.88 and 130,456,815.36

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Solution

The fourth proportional to 360,433,923, 540,704,837.88 and 130,456,815.36 is: 195,704,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,433,923 : 540,704,837.88 = 130,456,815.36 : x
  2. Step 2: Convert to fraction form
    360,433,923/540,704,837.88 = 130,456,815.36/x
  3. Step 3: Cross multiply
    360,433,923x = 540,704,837.88 × 130,456,815.36
  4. Step 4: Simplify right side
    360,433,923x = 70,538,631,199,569,896
  5. Step 5: Solve for x
    x = 70,538,631,199,569,896/360,433,923
  6. Step 6: Final answer
    x = 195,704,751.13

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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.