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Finding the Fourth Proportional to 413,783.60, 620,790.60 and 203,428.40

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Solution

The fourth proportional to 413,783.60, 620,790.60 and 203,428.40 is: 305,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,783.60 : 620,790.60 = 203,428.40 : x
  2. Step 2: Convert to fraction form
    413,783.60/620,790.60 = 203,428.40/x
  3. Step 3: Cross multiply
    413,783.60x = 620,790.60 × 203,428.40
  4. Step 4: Simplify right side
    413,783.60x = 126,286,438,493.04
  5. Step 5: Solve for x
    x = 126,286,438,493.04/413,783.60
  6. Step 6: Final answer
    x = 305,199.24

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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.