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Finding the Fourth Proportional to 392,962.16, 589,449.72 and 143,642

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Solution

The fourth proportional to 392,962.16, 589,449.72 and 143,642 is: 215,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,962.16 : 589,449.72 = 143,642 : x
  2. Step 2: Convert to fraction form
    392,962.16/589,449.72 = 143,642/x
  3. Step 3: Cross multiply
    392,962.16x = 589,449.72 × 143,642
  4. Step 4: Simplify right side
    392,962.16x = 84,669,736,680.24
  5. Step 5: Solve for x
    x = 84,669,736,680.24/392,962.16
  6. Step 6: Final answer
    x = 215,465.37

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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.