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Finding the Fourth Proportional to 465,636.80, 698,455.20 and 438,080.60

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Solution

The fourth proportional to 465,636.80, 698,455.20 and 438,080.60 is: 657,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,636.80 : 698,455.20 = 438,080.60 : x
  2. Step 2: Convert to fraction form
    465,636.80/698,455.20 = 438,080.60/x
  3. Step 3: Cross multiply
    465,636.80x = 698,455.20 × 438,080.60
  4. Step 4: Simplify right side
    465,636.80x = 305,979,673,089.12
  5. Step 5: Solve for x
    x = 305,979,673,089.12/465,636.80
  6. Step 6: Final answer
    x = 657,120.90

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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.