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Finding the Fourth Proportional to 605,123.04, 907,783.07 and 178,702

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Solution

The fourth proportional to 605,123.04, 907,783.07 and 178,702 is: 268,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,123.04 : 907,783.07 = 178,702 : x
  2. Step 2: Convert to fraction form
    605,123.04/907,783.07 = 178,702/x
  3. Step 3: Cross multiply
    605,123.04x = 907,783.07 × 178,702
  4. Step 4: Simplify right side
    605,123.04x = 162,222,650,175.14
  5. Step 5: Solve for x
    x = 162,222,650,175.14/605,123.04
  6. Step 6: Final answer
    x = 268,082.09

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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.