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Finding the Fourth Proportional to 405,529.28, 608,328.52 and 106,009.38

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Solution

The fourth proportional to 405,529.28, 608,328.52 and 106,009.38 is: 159,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,529.28 : 608,328.52 = 106,009.38 : x
  2. Step 2: Convert to fraction form
    405,529.28/608,328.52 = 106,009.38/x
  3. Step 3: Cross multiply
    405,529.28x = 608,328.52 × 106,009.38
  4. Step 4: Simplify right side
    405,529.28x = 64,488,526,695.26
  5. Step 5: Solve for x
    x = 64,488,526,695.26/405,529.28
  6. Step 6: Final answer
    x = 159,023.11

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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.