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Finding the Fourth Proportional to 204,234, 306,368.28 and 56,490

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Solution

The fourth proportional to 204,234, 306,368.28 and 56,490 is: 84,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,234 : 306,368.28 = 56,490 : x
  2. Step 2: Convert to fraction form
    204,234/306,368.28 = 56,490/x
  3. Step 3: Cross multiply
    204,234x = 306,368.28 × 56,490
  4. Step 4: Simplify right side
    204,234x = 17,306,744,137.20
  5. Step 5: Solve for x
    x = 17,306,744,137.20/204,234
  6. Step 6: Final answer
    x = 84,739.78

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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.