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Finding the Fourth Proportional to 408,342.43, 612,638.25 and 208,802.98

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Solution

The fourth proportional to 408,342.43, 612,638.25 and 208,802.98 is: 313,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,342.43 : 612,638.25 = 208,802.98 : x
  2. Step 2: Convert to fraction form
    408,342.43/612,638.25 = 208,802.98/x
  3. Step 3: Cross multiply
    408,342.43x = 612,638.25 × 208,802.98
  4. Step 4: Simplify right side
    408,342.43x = 127,920,688,154.78
  5. Step 5: Solve for x
    x = 127,920,688,154.78/408,342.43
  6. Step 6: Final answer
    x = 313,268.18

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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.