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Finding the Fourth Proportional to 659,399.30, 989,088.02 and 210,114.06

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Solution

The fourth proportional to 659,399.30, 989,088.02 and 210,114.06 is: 315,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,399.30 : 989,088.02 = 210,114.06 : x
  2. Step 2: Convert to fraction form
    659,399.30/989,088.02 = 210,114.06/x
  3. Step 3: Cross multiply
    659,399.30x = 989,088.02 × 210,114.06
  4. Step 4: Simplify right side
    659,399.30x = 207,821,299,579.56
  5. Step 5: Solve for x
    x = 207,821,299,579.56/659,399.30
  6. Step 6: Final answer
    x = 315,167.61

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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.