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Finding the Fourth Proportional to 405,944.64, 608,856.48 and 106,430.40

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Solution

The fourth proportional to 405,944.64, 608,856.48 and 106,430.40 is: 159,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,944.64 : 608,856.48 = 106,430.40 : x
  2. Step 2: Convert to fraction form
    405,944.64/608,856.48 = 106,430.40/x
  3. Step 3: Cross multiply
    405,944.64x = 608,856.48 × 106,430.40
  4. Step 4: Simplify right side
    405,944.64x = 64,800,838,708.99
  5. Step 5: Solve for x
    x = 64,800,838,708.99/405,944.64
  6. Step 6: Final answer
    x = 159,629.74

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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.