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Finding the Fourth Proportional to 684,384, 1,026,564.67 and 204,612.90

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Solution

The fourth proportional to 684,384, 1,026,564.67 and 204,612.90 is: 306,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,384 : 1,026,564.67 = 204,612.90 : x
  2. Step 2: Convert to fraction form
    684,384/1,026,564.67 = 204,612.90/x
  3. Step 3: Cross multiply
    684,384x = 1,026,564.67 × 204,612.90
  4. Step 4: Simplify right side
    684,384x = 210,048,374,166.24
  5. Step 5: Solve for x
    x = 210,048,374,166.24/684,384
  6. Step 6: Final answer
    x = 306,915.96

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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.