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Finding the Fourth Proportional to 305,708.40, 458,627.40 and 92,458.80

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Solution

The fourth proportional to 305,708.40, 458,627.40 and 92,458.80 is: 138,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,708.40 : 458,627.40 = 92,458.80 : x
  2. Step 2: Convert to fraction form
    305,708.40/458,627.40 = 92,458.80/x
  3. Step 3: Cross multiply
    305,708.40x = 458,627.40 × 92,458.80
  4. Step 4: Simplify right side
    305,708.40x = 42,404,139,051.12
  5. Step 5: Solve for x
    x = 42,404,139,051.12/305,708.40
  6. Step 6: Final answer
    x = 138,707.80

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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.