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Finding the Fourth Proportional to 405,875.80, 609,023.78 and 294,475.49

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Solution

The fourth proportional to 405,875.80, 609,023.78 and 294,475.49 is: 441,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,875.80 : 609,023.78 = 294,475.49 : x
  2. Step 2: Convert to fraction form
    405,875.80/609,023.78 = 294,475.49/x
  3. Step 3: Cross multiply
    405,875.80x = 609,023.78 × 294,475.49
  4. Step 4: Simplify right side
    405,875.80x = 179,342,576,037.15
  5. Step 5: Solve for x
    x = 179,342,576,037.15/405,875.80
  6. Step 6: Final answer
    x = 441,865.65

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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.