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Finding the Fourth Proportional to 484,863.81, 727,410.20 and 152,439.81

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Solution

The fourth proportional to 484,863.81, 727,410.20 and 152,439.81 is: 228,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,863.81 : 727,410.20 = 152,439.81 : x
  2. Step 2: Convert to fraction form
    484,863.81/727,410.20 = 152,439.81/x
  3. Step 3: Cross multiply
    484,863.81x = 727,410.20 × 152,439.81
  4. Step 4: Simplify right side
    484,863.81x = 110,886,271,917.86
  5. Step 5: Solve for x
    x = 110,886,271,917.86/484,863.81
  6. Step 6: Final answer
    x = 228,695.71

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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.