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Finding the Fourth Proportional to 351,654.81, 527,478.09 and 85,415.57

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Solution

The fourth proportional to 351,654.81, 527,478.09 and 85,415.57 is: 128,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,654.81 : 527,478.09 = 85,415.57 : x
  2. Step 2: Convert to fraction form
    351,654.81/527,478.09 = 85,415.57/x
  3. Step 3: Cross multiply
    351,654.81x = 527,478.09 × 85,415.57
  4. Step 4: Simplify right side
    351,654.81x = 45,054,841,719.86
  5. Step 5: Solve for x
    x = 45,054,841,719.86/351,654.81
  6. Step 6: Final answer
    x = 128,122.35

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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.