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Finding the Fourth Proportional to 310,296.47, 465,435.41 and 85,670.64

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Solution

The fourth proportional to 310,296.47, 465,435.41 and 85,670.64 is: 128,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,296.47 : 465,435.41 = 85,670.64 : x
  2. Step 2: Convert to fraction form
    310,296.47/465,435.41 = 85,670.64/x
  3. Step 3: Cross multiply
    310,296.47x = 465,435.41 × 85,670.64
  4. Step 4: Simplify right side
    310,296.47x = 39,874,149,025.01
  5. Step 5: Solve for x
    x = 39,874,149,025.01/310,296.47
  6. Step 6: Final answer
    x = 128,503.39

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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.