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Finding the Fourth Proportional to 456,091.26, 684,248.21 and 321,417.92

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Solution

The fourth proportional to 456,091.26, 684,248.21 and 321,417.92 is: 482,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,091.26 : 684,248.21 = 321,417.92 : x
  2. Step 2: Convert to fraction form
    456,091.26/684,248.21 = 321,417.92/x
  3. Step 3: Cross multiply
    456,091.26x = 684,248.21 × 321,417.92
  4. Step 4: Simplify right side
    456,091.26x = 219,929,637,730.77
  5. Step 5: Solve for x
    x = 219,929,637,730.77/456,091.26
  6. Step 6: Final answer
    x = 482,205.34

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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.