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Finding the Fourth Proportional to 659,469.60, 989,206.02 and 186,154.74

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Solution

The fourth proportional to 659,469.60, 989,206.02 and 186,154.74 is: 279,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,469.60 : 989,206.02 = 186,154.74 : x
  2. Step 2: Convert to fraction form
    659,469.60/989,206.02 = 186,154.74/x
  3. Step 3: Cross multiply
    659,469.60x = 989,206.02 × 186,154.74
  4. Step 4: Simplify right side
    659,469.60x = 184,145,389,459.54
  5. Step 5: Solve for x
    x = 184,145,389,459.54/659,469.60
  6. Step 6: Final answer
    x = 279,232.57

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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.