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Finding the Fourth Proportional to 289,804.60, 434,551.38 and 90,039.16

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Solution

The fourth proportional to 289,804.60, 434,551.38 and 90,039.16 is: 135,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,804.60 : 434,551.38 = 90,039.16 : x
  2. Step 2: Convert to fraction form
    289,804.60/434,551.38 = 90,039.16/x
  3. Step 3: Cross multiply
    289,804.60x = 434,551.38 × 90,039.16
  4. Step 4: Simplify right side
    289,804.60x = 39,126,641,232.04
  5. Step 5: Solve for x
    x = 39,126,641,232.04/289,804.60
  6. Step 6: Final answer
    x = 135,010.42

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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.