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Finding the Fourth Proportional to 676,407.36, 1,014,619.68 and 321,456

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Solution

The fourth proportional to 676,407.36, 1,014,619.68 and 321,456 is: 482,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,407.36 : 1,014,619.68 = 321,456 : x
  2. Step 2: Convert to fraction form
    676,407.36/1,014,619.68 = 321,456/x
  3. Step 3: Cross multiply
    676,407.36x = 1,014,619.68 × 321,456
  4. Step 4: Simplify right side
    676,407.36x = 326,155,583,854.08
  5. Step 5: Solve for x
    x = 326,155,583,854.08/676,407.36
  6. Step 6: Final answer
    x = 482,188.11

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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.