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Finding the Fourth Proportional to 434,448.80, 652,110.60 and 209,989.70

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Solution

The fourth proportional to 434,448.80, 652,110.60 and 209,989.70 is: 315,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,448.80 : 652,110.60 = 209,989.70 : x
  2. Step 2: Convert to fraction form
    434,448.80/652,110.60 = 209,989.70/x
  3. Step 3: Cross multiply
    434,448.80x = 652,110.60 × 209,989.70
  4. Step 4: Simplify right side
    434,448.80x = 136,936,509,260.82
  5. Step 5: Solve for x
    x = 136,936,509,260.82/434,448.80
  6. Step 6: Final answer
    x = 315,195.97

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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.