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Finding the Fourth Proportional to 504,665.54, 696,415.02 and 289,654.28

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Solution

The fourth proportional to 504,665.54, 696,415.02 and 289,654.28 is: 399,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,665.54 : 696,415.02 = 289,654.28 : x
  2. Step 2: Convert to fraction form
    504,665.54/696,415.02 = 289,654.28/x
  3. Step 3: Cross multiply
    504,665.54x = 696,415.02 × 289,654.28
  4. Step 4: Simplify right side
    504,665.54x = 201,719,591,199.29
  5. Step 5: Solve for x
    x = 201,719,591,199.29/504,665.54
  6. Step 6: Final answer
    x = 399,709.46

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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.