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Finding the Fourth Proportional to 480,429.81, 661,080.83 and 465,820.65

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Solution

The fourth proportional to 480,429.81, 661,080.83 and 465,820.65 is: 640,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,429.81 : 661,080.83 = 465,820.65 : x
  2. Step 2: Convert to fraction form
    480,429.81/661,080.83 = 465,820.65/x
  3. Step 3: Cross multiply
    480,429.81x = 661,080.83 × 465,820.65
  4. Step 4: Simplify right side
    480,429.81x = 307,945,099,604.04
  5. Step 5: Solve for x
    x = 307,945,099,604.04/480,429.81
  6. Step 6: Final answer
    x = 640,978.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.