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Finding the Fourth Proportional to 305,585.61, 458,380.70 and 115,994.87

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Solution

The fourth proportional to 305,585.61, 458,380.70 and 115,994.87 is: 173,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,585.61 : 458,380.70 = 115,994.87 : x
  2. Step 2: Convert to fraction form
    305,585.61/458,380.70 = 115,994.87/x
  3. Step 3: Cross multiply
    305,585.61x = 458,380.70 × 115,994.87
  4. Step 4: Simplify right side
    305,585.61x = 53,169,806,835.13
  5. Step 5: Solve for x
    x = 53,169,806,835.13/305,585.61
  6. Step 6: Final answer
    x = 173,993.16

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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.