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Finding the Fourth Proportional to 380,409.12, 570,569.67 and 99,948.24

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Solution

The fourth proportional to 380,409.12, 570,569.67 and 99,948.24 is: 149,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,409.12 : 570,569.67 = 99,948.24 : x
  2. Step 2: Convert to fraction form
    380,409.12/570,569.67 = 99,948.24/x
  3. Step 3: Cross multiply
    380,409.12x = 570,569.67 × 99,948.24
  4. Step 4: Simplify right side
    380,409.12x = 57,027,434,313.88
  5. Step 5: Solve for x
    x = 57,027,434,313.88/380,409.12
  6. Step 6: Final answer
    x = 149,910.80

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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.