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Finding the Fourth Proportional to 456,140.67, 684,322.58 and 321,467.51

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Solution

The fourth proportional to 456,140.67, 684,322.58 and 321,467.51 is: 482,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,140.67 : 684,322.58 = 321,467.51 : x
  2. Step 2: Convert to fraction form
    456,140.67/684,322.58 = 321,467.51/x
  3. Step 3: Cross multiply
    456,140.67x = 684,322.58 × 321,467.51
  4. Step 4: Simplify right side
    456,140.67x = 219,987,475,829.38
  5. Step 5: Solve for x
    x = 219,987,475,829.38/456,140.67
  6. Step 6: Final answer
    x = 482,279.90

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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.