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Finding the Fourth Proportional to 422,070.84, 632,557.08 and 321,862.50

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Solution

The fourth proportional to 422,070.84, 632,557.08 and 321,862.50 is: 482,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,070.84 : 632,557.08 = 321,862.50 : x
  2. Step 2: Convert to fraction form
    422,070.84/632,557.08 = 321,862.50/x
  3. Step 3: Cross multiply
    422,070.84x = 632,557.08 × 321,862.50
  4. Step 4: Simplify right side
    422,070.84x = 203,596,403,161.50
  5. Step 5: Solve for x
    x = 203,596,403,161.50/422,070.84
  6. Step 6: Final answer
    x = 482,374.96

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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.