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Finding the Fourth Proportional to 390,148.44, 585,340.62 and 276,516

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Solution

The fourth proportional to 390,148.44, 585,340.62 and 276,516 is: 414,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,148.44 : 585,340.62 = 276,516 : x
  2. Step 2: Convert to fraction form
    390,148.44/585,340.62 = 276,516/x
  3. Step 3: Cross multiply
    390,148.44x = 585,340.62 × 276,516
  4. Step 4: Simplify right side
    390,148.44x = 161,856,046,879.92
  5. Step 5: Solve for x
    x = 161,856,046,879.92/390,148.44
  6. Step 6: Final answer
    x = 414,857.60

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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.