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Finding the Fourth Proportional to 422,314.25, 633,340.31 and 152,407.34

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Solution

The fourth proportional to 422,314.25, 633,340.31 and 152,407.34 is: 228,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,314.25 : 633,340.31 = 152,407.34 : x
  2. Step 2: Convert to fraction form
    422,314.25/633,340.31 = 152,407.34/x
  3. Step 3: Cross multiply
    422,314.25x = 633,340.31 × 152,407.34
  4. Step 4: Simplify right side
    422,314.25x = 96,525,711,199.84
  5. Step 5: Solve for x
    x = 96,525,711,199.84/422,314.25
  6. Step 6: Final answer
    x = 228,563.71

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1.5x scale

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.