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Finding the Fourth Proportional to 666,760, 920,128.80 and 364,954

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Solution

The fourth proportional to 666,760, 920,128.80 and 364,954 is: 503,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,760 : 920,128.80 = 364,954 : x
  2. Step 2: Convert to fraction form
    666,760/920,128.80 = 364,954/x
  3. Step 3: Cross multiply
    666,760x = 920,128.80 × 364,954
  4. Step 4: Simplify right side
    666,760x = 335,804,686,075.20
  5. Step 5: Solve for x
    x = 335,804,686,075.20/666,760
  6. Step 6: Final answer
    x = 503,636.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.