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Finding the Fourth Proportional to 517,014.08, 713,605.92 and 315,978.56

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Solution

The fourth proportional to 517,014.08, 713,605.92 and 315,978.56 is: 436,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,014.08 : 713,605.92 = 315,978.56 : x
  2. Step 2: Convert to fraction form
    517,014.08/713,605.92 = 315,978.56/x
  3. Step 3: Cross multiply
    517,014.08x = 713,605.92 × 315,978.56
  4. Step 4: Simplify right side
    517,014.08x = 225,484,171,009.08
  5. Step 5: Solve for x
    x = 225,484,171,009.08/517,014.08
  6. Step 6: Final answer
    x = 436,127.72

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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.