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Finding the Fourth Proportional to 501,871.66, 692,414.26 and 320,689.64

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Solution

The fourth proportional to 501,871.66, 692,414.26 and 320,689.64 is: 442,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,871.66 : 692,414.26 = 320,689.64 : x
  2. Step 2: Convert to fraction form
    501,871.66/692,414.26 = 320,689.64/x
  3. Step 3: Cross multiply
    501,871.66x = 692,414.26 × 320,689.64
  4. Step 4: Simplify right side
    501,871.66x = 222,050,080,699.58
  5. Step 5: Solve for x
    x = 222,050,080,699.58/501,871.66
  6. Step 6: Final answer
    x = 442,443.95

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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.