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Finding the Fourth Proportional to 665,028.70, 997,543.05 and 310,078.60

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Solution

The fourth proportional to 665,028.70, 997,543.05 and 310,078.60 is: 465,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,028.70 : 997,543.05 = 310,078.60 : x
  2. Step 2: Convert to fraction form
    665,028.70/997,543.05 = 310,078.60/x
  3. Step 3: Cross multiply
    665,028.70x = 997,543.05 × 310,078.60
  4. Step 4: Simplify right side
    665,028.70x = 309,316,752,383.73
  5. Step 5: Solve for x
    x = 309,316,752,383.73/665,028.70
  6. Step 6: Final answer
    x = 465,117.90

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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.