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Finding the Fourth Proportional to 511,068,810.80, 766,603,216.20 and 220,075,338.80

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Solution

The fourth proportional to 511,068,810.80, 766,603,216.20 and 220,075,338.80 is: 330,113,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,068,810.80 : 766,603,216.20 = 220,075,338.80 : x
  2. Step 2: Convert to fraction form
    511,068,810.80/766,603,216.20 = 220,075,338.80/x
  3. Step 3: Cross multiply
    511,068,810.80x = 766,603,216.20 × 220,075,338.80
  4. Step 4: Simplify right side
    511,068,810.80x = 168,710,462,530,384,672
  5. Step 5: Solve for x
    x = 168,710,462,530,384,672/511,068,810.80
  6. Step 6: Final answer
    x = 330,113,008.20

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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.