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Finding the Fourth Proportional to 260,818.64, 390,993.24 and 94,490

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Solution

The fourth proportional to 260,818.64, 390,993.24 and 94,490 is: 141,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,818.64 : 390,993.24 = 94,490 : x
  2. Step 2: Convert to fraction form
    260,818.64/390,993.24 = 94,490/x
  3. Step 3: Cross multiply
    260,818.64x = 390,993.24 × 94,490
  4. Step 4: Simplify right side
    260,818.64x = 36,944,951,247.60
  5. Step 5: Solve for x
    x = 36,944,951,247.60/260,818.64
  6. Step 6: Final answer
    x = 141,649.97

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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.