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Finding the Fourth Proportional to 307,893.60, 461,870.64 and 127,941.84

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Solution

The fourth proportional to 307,893.60, 461,870.64 and 127,941.84 is: 191,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,893.60 : 461,870.64 = 127,941.84 : x
  2. Step 2: Convert to fraction form
    307,893.60/461,870.64 = 127,941.84/x
  3. Step 3: Cross multiply
    307,893.60x = 461,870.64 × 127,941.84
  4. Step 4: Simplify right side
    307,893.60x = 59,092,579,523.58
  5. Step 5: Solve for x
    x = 59,092,579,523.58/307,893.60
  6. Step 6: Final answer
    x = 191,925.33

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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.