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Finding the Fourth Proportional to 392,901.81, 589,461.48 and 156,410.52

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Solution

The fourth proportional to 392,901.81, 589,461.48 and 156,410.52 is: 234,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,901.81 : 589,461.48 = 156,410.52 : x
  2. Step 2: Convert to fraction form
    392,901.81/589,461.48 = 156,410.52/x
  3. Step 3: Cross multiply
    392,901.81x = 589,461.48 × 156,410.52
  4. Step 4: Simplify right side
    392,901.81x = 92,197,976,606.77
  5. Step 5: Solve for x
    x = 92,197,976,606.77/392,901.81
  6. Step 6: Final answer
    x = 234,659.08

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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.