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Finding the Fourth Proportional to 392,824.77, 589,143.69 and 108,509.01

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Solution

The fourth proportional to 392,824.77, 589,143.69 and 108,509.01 is: 162,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,824.77 : 589,143.69 = 108,509.01 : x
  2. Step 2: Convert to fraction form
    392,824.77/589,143.69 = 108,509.01/x
  3. Step 3: Cross multiply
    392,824.77x = 589,143.69 × 108,509.01
  4. Step 4: Simplify right side
    392,824.77x = 63,927,398,549.65
  5. Step 5: Solve for x
    x = 63,927,398,549.65/392,824.77
  6. Step 6: Final answer
    x = 162,737.70

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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.