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Finding the Fourth Proportional to 456,143.17, 684,326.34 and 321,470

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Solution

The fourth proportional to 456,143.17, 684,326.34 and 321,470 is: 482,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,143.17 : 684,326.34 = 321,470 : x
  2. Step 2: Convert to fraction form
    456,143.17/684,326.34 = 321,470/x
  3. Step 3: Cross multiply
    456,143.17x = 684,326.34 × 321,470
  4. Step 4: Simplify right side
    456,143.17x = 219,990,388,519.80
  5. Step 5: Solve for x
    x = 219,990,388,519.80/456,143.17
  6. Step 6: Final answer
    x = 482,283.64

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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.