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Finding the Fourth Proportional to 517,835, 776,762.22 and 143,867.72

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Solution

The fourth proportional to 517,835, 776,762.22 and 143,867.72 is: 215,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,835 : 776,762.22 = 143,867.72 : x
  2. Step 2: Convert to fraction form
    517,835/776,762.22 = 143,867.72/x
  3. Step 3: Cross multiply
    517,835x = 776,762.22 × 143,867.72
  4. Step 4: Simplify right side
    517,835x = 111,751,009,573.54
  5. Step 5: Solve for x
    x = 111,751,009,573.54/517,835
  6. Step 6: Final answer
    x = 215,804.28

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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.