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Finding the Fourth Proportional to 511,855, 706,586.40 and 330,655.28

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Solution

The fourth proportional to 511,855, 706,586.40 and 330,655.28 is: 456,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,855 : 706,586.40 = 330,655.28 : x
  2. Step 2: Convert to fraction form
    511,855/706,586.40 = 330,655.28/x
  3. Step 3: Cross multiply
    511,855x = 706,586.40 × 330,655.28
  4. Step 4: Simplify right side
    511,855x = 233,636,523,936.19
  5. Step 5: Solve for x
    x = 233,636,523,936.19/511,855
  6. Step 6: Final answer
    x = 456,450.60

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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.