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Finding the Fourth Proportional to 295,642.60, 443,420.70 and 85,258.60

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Solution

The fourth proportional to 295,642.60, 443,420.70 and 85,258.60 is: 127,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,642.60 : 443,420.70 = 85,258.60 : x
  2. Step 2: Convert to fraction form
    295,642.60/443,420.70 = 85,258.60/x
  3. Step 3: Cross multiply
    295,642.60x = 443,420.70 × 85,258.60
  4. Step 4: Simplify right side
    295,642.60x = 37,805,428,093.02
  5. Step 5: Solve for x
    x = 37,805,428,093.02/295,642.60
  6. Step 6: Final answer
    x = 127,875.44

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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.