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Finding the Fourth Proportional to 402,189.32, 603,283.29 and 102,669.84

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Solution

The fourth proportional to 402,189.32, 603,283.29 and 102,669.84 is: 154,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,189.32 : 603,283.29 = 102,669.84 : x
  2. Step 2: Convert to fraction form
    402,189.32/603,283.29 = 102,669.84/x
  3. Step 3: Cross multiply
    402,189.32x = 603,283.29 × 102,669.84
  4. Step 4: Simplify right side
    402,189.32x = 61,938,998,858.97
  5. Step 5: Solve for x
    x = 61,938,998,858.97/402,189.32
  6. Step 6: Final answer
    x = 154,004.59

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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.