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Finding the Fourth Proportional to 422,313.78, 633,339.54 and 152,406.84

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Solution

The fourth proportional to 422,313.78, 633,339.54 and 152,406.84 is: 228,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,313.78 : 633,339.54 = 152,406.84 : x
  2. Step 2: Convert to fraction form
    422,313.78/633,339.54 = 152,406.84/x
  3. Step 3: Cross multiply
    422,313.78x = 633,339.54 × 152,406.84
  4. Step 4: Simplify right side
    422,313.78x = 96,525,277,938.45
  5. Step 5: Solve for x
    x = 96,525,277,938.45/422,313.78
  6. Step 6: Final answer
    x = 228,562.94

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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.