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Finding the Fourth Proportional to 689,300.70, 1,034,728.65 and 408,975.90

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Solution

The fourth proportional to 689,300.70, 1,034,728.65 and 408,975.90 is: 613,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,300.70 : 1,034,728.65 = 408,975.90 : x
  2. Step 2: Convert to fraction form
    689,300.70/1,034,728.65 = 408,975.90/x
  3. Step 3: Cross multiply
    689,300.70x = 1,034,728.65 × 408,975.90
  4. Step 4: Simplify right side
    689,300.70x = 423,179,080,889.54
  5. Step 5: Solve for x
    x = 423,179,080,889.54/689,300.70
  6. Step 6: Final answer
    x = 613,925.22

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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.