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Finding the Fourth Proportional to 385,536.08, 580,936.64 and 316,951.76

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Solution

The fourth proportional to 385,536.08, 580,936.64 and 316,951.76 is: 477,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,536.08 : 580,936.64 = 316,951.76 : x
  2. Step 2: Convert to fraction form
    385,536.08/580,936.64 = 316,951.76/x
  3. Step 3: Cross multiply
    385,536.08x = 580,936.64 × 316,951.76
  4. Step 4: Simplify right side
    385,536.08x = 184,128,890,496.49
  5. Step 5: Solve for x
    x = 184,128,890,496.49/385,536.08
  6. Step 6: Final answer
    x = 477,591.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.