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Finding the Fourth Proportional to 518,112.86, 777,345.80 and 316,113.37

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Solution

The fourth proportional to 518,112.86, 777,345.80 and 316,113.37 is: 474,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,112.86 : 777,345.80 = 316,113.37 : x
  2. Step 2: Convert to fraction form
    518,112.86/777,345.80 = 316,113.37/x
  3. Step 3: Cross multiply
    518,112.86x = 777,345.80 × 316,113.37
  4. Step 4: Simplify right side
    518,112.86x = 245,729,396,969.42
  5. Step 5: Solve for x
    x = 245,729,396,969.42/518,112.86
  6. Step 6: Final answer
    x = 474,277.75

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Why These Related Problems?

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