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Finding the Fourth Proportional to 729,907, 1,007,716.40 and 500,840.64

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Solution

The fourth proportional to 729,907, 1,007,716.40 and 500,840.64 is: 691,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,907 : 1,007,716.40 = 500,840.64 : x
  2. Step 2: Convert to fraction form
    729,907/1,007,716.40 = 500,840.64/x
  3. Step 3: Cross multiply
    729,907x = 1,007,716.40 × 500,840.64
  4. Step 4: Simplify right side
    729,907x = 504,705,326,714.50
  5. Step 5: Solve for x
    x = 504,705,326,714.50/729,907
  6. Step 6: Final answer
    x = 691,465.25

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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.