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Finding the Fourth Proportional to 615,816, 923,775.84 and 172,584

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Solution

The fourth proportional to 615,816, 923,775.84 and 172,584 is: 258,890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,816 : 923,775.84 = 172,584 : x
  2. Step 2: Convert to fraction form
    615,816/923,775.84 = 172,584/x
  3. Step 3: Cross multiply
    615,816x = 923,775.84 × 172,584
  4. Step 4: Simplify right side
    615,816x = 159,428,929,570.56
  5. Step 5: Solve for x
    x = 159,428,929,570.56/615,816
  6. Step 6: Final answer
    x = 258,890.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.