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Finding the Fourth Proportional to 408,920.47, 613,505.76 and 209,382

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Solution

The fourth proportional to 408,920.47, 613,505.76 and 209,382 is: 314,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,920.47 : 613,505.76 = 209,382 : x
  2. Step 2: Convert to fraction form
    408,920.47/613,505.76 = 209,382/x
  3. Step 3: Cross multiply
    408,920.47x = 613,505.76 × 209,382
  4. Step 4: Simplify right side
    408,920.47x = 128,457,063,040.32
  5. Step 5: Solve for x
    x = 128,457,063,040.32/408,920.47
  6. Step 6: Final answer
    x = 314,137.03

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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.