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Finding the Fourth Proportional to 301,322.12, 451,560.65 and 216,684

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Solution

The fourth proportional to 301,322.12, 451,560.65 and 216,684 is: 324,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,322.12 : 451,560.65 = 216,684 : x
  2. Step 2: Convert to fraction form
    301,322.12/451,560.65 = 216,684/x
  3. Step 3: Cross multiply
    301,322.12x = 451,560.65 × 216,684
  4. Step 4: Simplify right side
    301,322.12x = 97,845,966,801.18
  5. Step 5: Solve for x
    x = 97,845,966,801.18/301,322.12
  6. Step 6: Final answer
    x = 324,722.16

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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.