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Finding the Fourth Proportional to 522,804.51, 720,893.94 and 361,379.31

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Solution

The fourth proportional to 522,804.51, 720,893.94 and 361,379.31 is: 498,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,804.51 : 720,893.94 = 361,379.31 : x
  2. Step 2: Convert to fraction form
    522,804.51/720,893.94 = 361,379.31/x
  3. Step 3: Cross multiply
    522,804.51x = 720,893.94 × 361,379.31
  4. Step 4: Simplify right side
    522,804.51x = 260,516,154,620.38
  5. Step 5: Solve for x
    x = 260,516,154,620.38/522,804.51
  6. Step 6: Final answer
    x = 498,305.10

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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.