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Finding the Fourth Proportional to 659,405.51, 989,097.54 and 210,120.32

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Solution

The fourth proportional to 659,405.51, 989,097.54 and 210,120.32 is: 315,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,405.51 : 989,097.54 = 210,120.32 : x
  2. Step 2: Convert to fraction form
    659,405.51/989,097.54 = 210,120.32/x
  3. Step 3: Cross multiply
    659,405.51x = 989,097.54 × 210,120.32
  4. Step 4: Simplify right side
    659,405.51x = 207,829,485,882.57
  5. Step 5: Solve for x
    x = 207,829,485,882.57/659,405.51
  6. Step 6: Final answer
    x = 315,177.05

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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.