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Finding the Fourth Proportional to 504,931.14, 696,846.56 and 287,208

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Solution

The fourth proportional to 504,931.14, 696,846.56 and 287,208 is: 396,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,931.14 : 696,846.56 = 287,208 : x
  2. Step 2: Convert to fraction form
    504,931.14/696,846.56 = 287,208/x
  3. Step 3: Cross multiply
    504,931.14x = 696,846.56 × 287,208
  4. Step 4: Simplify right side
    504,931.14x = 200,139,905,368.44
  5. Step 5: Solve for x
    x = 200,139,905,368.44/504,931.14
  6. Step 6: Final answer
    x = 396,370.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.