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Finding the Fourth Proportional to 276,594.60, 414,989.10 and 99,107.40

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Solution

The fourth proportional to 276,594.60, 414,989.10 and 99,107.40 is: 148,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,594.60 : 414,989.10 = 99,107.40 : x
  2. Step 2: Convert to fraction form
    276,594.60/414,989.10 = 99,107.40/x
  3. Step 3: Cross multiply
    276,594.60x = 414,989.10 × 99,107.40
  4. Step 4: Simplify right side
    276,594.60x = 41,128,490,729.34
  5. Step 5: Solve for x
    x = 41,128,490,729.34/276,594.60
  6. Step 6: Final answer
    x = 148,695.93

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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.