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Finding the Fourth Proportional to 912,204, 1,258,880.40 and 509,796

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Solution

The fourth proportional to 912,204, 1,258,880.40 and 509,796 is: 703,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,204 : 1,258,880.40 = 509,796 : x
  2. Step 2: Convert to fraction form
    912,204/1,258,880.40 = 509,796/x
  3. Step 3: Cross multiply
    912,204x = 1,258,880.40 × 509,796
  4. Step 4: Simplify right side
    912,204x = 641,772,192,398.40
  5. Step 5: Solve for x
    x = 641,772,192,398.40/912,204
  6. Step 6: Final answer
    x = 703,540.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.