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Finding the Fourth Proportional to 408,341.93, 612,637.49 and 208,802.48

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Solution

The fourth proportional to 408,341.93, 612,637.49 and 208,802.48 is: 313,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,341.93 : 612,637.49 = 208,802.48 : x
  2. Step 2: Convert to fraction form
    408,341.93/612,637.49 = 208,802.48/x
  3. Step 3: Cross multiply
    408,341.93x = 612,637.49 × 208,802.48
  4. Step 4: Simplify right side
    408,341.93x = 127,920,224,711.79
  5. Step 5: Solve for x
    x = 127,920,224,711.79/408,341.93
  6. Step 6: Final answer
    x = 313,267.43

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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.