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Finding the Fourth Proportional to 392,580.56, 589,026.36 and 143,437.52

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Solution

The fourth proportional to 392,580.56, 589,026.36 and 143,437.52 is: 215,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,580.56 : 589,026.36 = 143,437.52 : x
  2. Step 2: Convert to fraction form
    392,580.56/589,026.36 = 143,437.52/x
  3. Step 3: Cross multiply
    392,580.56x = 589,026.36 × 143,437.52
  4. Step 4: Simplify right side
    392,580.56x = 84,488,480,293.03
  5. Step 5: Solve for x
    x = 84,488,480,293.03/392,580.56
  6. Step 6: Final answer
    x = 215,213.10

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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.