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Finding the Fourth Proportional to 392,726.36, 589,300.68 and 156,071

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Solution

The fourth proportional to 392,726.36, 589,300.68 and 156,071 is: 234,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,726.36 : 589,300.68 = 156,071 : x
  2. Step 2: Convert to fraction form
    392,726.36/589,300.68 = 156,071/x
  3. Step 3: Cross multiply
    392,726.36x = 589,300.68 × 156,071
  4. Step 4: Simplify right side
    392,726.36x = 91,972,746,428.28
  5. Step 5: Solve for x
    x = 91,972,746,428.28/392,726.36
  6. Step 6: Final answer
    x = 234,190.41

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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.