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Finding the Fourth Proportional to 507,978.12, 701,010.78 and 281,623.62

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Solution

The fourth proportional to 507,978.12, 701,010.78 and 281,623.62 is: 388,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978.12 : 701,010.78 = 281,623.62 : x
  2. Step 2: Convert to fraction form
    507,978.12/701,010.78 = 281,623.62/x
  3. Step 3: Cross multiply
    507,978.12x = 701,010.78 × 281,623.62
  4. Step 4: Simplify right side
    507,978.12x = 197,421,193,522.62
  5. Step 5: Solve for x
    x = 197,421,193,522.62/507,978.12
  6. Step 6: Final answer
    x = 388,641.14

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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.