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Finding the Fourth Proportional to 421,873.89, 582,070.68 and 240,519.66

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Solution

The fourth proportional to 421,873.89, 582,070.68 and 240,519.66 is: 331,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,873.89 : 582,070.68 = 240,519.66 : x
  2. Step 2: Convert to fraction form
    421,873.89/582,070.68 = 240,519.66/x
  3. Step 3: Cross multiply
    421,873.89x = 582,070.68 × 240,519.66
  4. Step 4: Simplify right side
    421,873.89x = 139,999,442,049.57
  5. Step 5: Solve for x
    x = 139,999,442,049.57/421,873.89
  6. Step 6: Final answer
    x = 331,851.40

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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.