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Finding the Fourth Proportional to 689,778.65, 1,034,878.65 and 353,057.87

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Solution

The fourth proportional to 689,778.65, 1,034,878.65 and 353,057.87 is: 529,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,778.65 : 1,034,878.65 = 353,057.87 : x
  2. Step 2: Convert to fraction form
    689,778.65/1,034,878.65 = 353,057.87/x
  3. Step 3: Cross multiply
    689,778.65x = 1,034,878.65 × 353,057.87
  4. Step 4: Simplify right side
    689,778.65x = 365,372,053,140.71
  5. Step 5: Solve for x
    x = 365,372,053,140.71/689,778.65
  6. Step 6: Final answer
    x = 529,694.64

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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.