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Finding the Fourth Proportional to 684,804.72, 1,027,425.80 and 329,854.64

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Solution

The fourth proportional to 684,804.72, 1,027,425.80 and 329,854.64 is: 494,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,804.72 : 1,027,425.80 = 329,854.64 : x
  2. Step 2: Convert to fraction form
    684,804.72/1,027,425.80 = 329,854.64/x
  3. Step 3: Cross multiply
    684,804.72x = 1,027,425.80 × 329,854.64
  4. Step 4: Simplify right side
    684,804.72x = 338,901,167,385.71
  5. Step 5: Solve for x
    x = 338,901,167,385.71/684,804.72
  6. Step 6: Final answer
    x = 494,887.31

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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.