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Finding the Fourth Proportional to 393,009.84, 589,580.37 and 123,155.91

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Solution

The fourth proportional to 393,009.84, 589,580.37 and 123,155.91 is: 184,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,009.84 : 589,580.37 = 123,155.91 : x
  2. Step 2: Convert to fraction form
    393,009.84/589,580.37 = 123,155.91/x
  3. Step 3: Cross multiply
    393,009.84x = 589,580.37 × 123,155.91
  4. Step 4: Simplify right side
    393,009.84x = 72,610,306,985.49
  5. Step 5: Solve for x
    x = 72,610,306,985.49/393,009.84
  6. Step 6: Final answer
    x = 184,754.42

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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.