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Finding the Fourth Proportional to 380,407.60, 525,509.31 and 303,826.15

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Solution

The fourth proportional to 380,407.60, 525,509.31 and 303,826.15 is: 419,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,407.60 : 525,509.31 = 303,826.15 : x
  2. Step 2: Convert to fraction form
    380,407.60/525,509.31 = 303,826.15/x
  3. Step 3: Cross multiply
    380,407.60x = 525,509.31 × 303,826.15
  4. Step 4: Simplify right side
    380,407.60x = 159,663,470,446.46
  5. Step 5: Solve for x
    x = 159,663,470,446.46/380,407.60
  6. Step 6: Final answer
    x = 419,716.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.