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Finding the Fourth Proportional to 434,660.64, 651,991.32 and 119,119.92

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Solution

The fourth proportional to 434,660.64, 651,991.32 and 119,119.92 is: 178,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,660.64 : 651,991.32 = 119,119.92 : x
  2. Step 2: Convert to fraction form
    434,660.64/651,991.32 = 119,119.92/x
  3. Step 3: Cross multiply
    434,660.64x = 651,991.32 × 119,119.92
  4. Step 4: Simplify right side
    434,660.64x = 77,665,153,879.09
  5. Step 5: Solve for x
    x = 77,665,153,879.09/434,660.64
  6. Step 6: Final answer
    x = 178,679.98

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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.