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Finding the Fourth Proportional to 389,410.94, 584,180.51 and 119,532.31

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Solution

The fourth proportional to 389,410.94, 584,180.51 and 119,532.31 is: 179,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,410.94 : 584,180.51 = 119,532.31 : x
  2. Step 2: Convert to fraction form
    389,410.94/584,180.51 = 119,532.31/x
  3. Step 3: Cross multiply
    389,410.94x = 584,180.51 × 119,532.31
  4. Step 4: Simplify right side
    389,410.94x = 69,828,443,759.17
  5. Step 5: Solve for x
    x = 69,828,443,759.17/389,410.94
  6. Step 6: Final answer
    x = 179,318.13

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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.