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Finding the Fourth Proportional to 392,709.50, 589,064.26 and 97,221.50

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Solution

The fourth proportional to 392,709.50, 589,064.26 and 97,221.50 is: 145,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,709.50 : 589,064.26 = 97,221.50 : x
  2. Step 2: Convert to fraction form
    392,709.50/589,064.26 = 97,221.50/x
  3. Step 3: Cross multiply
    392,709.50x = 589,064.26 × 97,221.50
  4. Step 4: Simplify right side
    392,709.50x = 57,269,710,953.59
  5. Step 5: Solve for x
    x = 57,269,710,953.59/392,709.50
  6. Step 6: Final answer
    x = 145,832.25

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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.