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Finding the Fourth Proportional to 538,938.10, 808,522.35 and 164,998.90

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Solution

The fourth proportional to 538,938.10, 808,522.35 and 164,998.90 is: 247,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,938.10 : 808,522.35 = 164,998.90 : x
  2. Step 2: Convert to fraction form
    538,938.10/808,522.35 = 164,998.90/x
  3. Step 3: Cross multiply
    538,938.10x = 808,522.35 × 164,998.90
  4. Step 4: Simplify right side
    538,938.10x = 133,405,298,375.42
  5. Step 5: Solve for x
    x = 133,405,298,375.42/538,938.10
  6. Step 6: Final answer
    x = 247,533.62

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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.