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Finding the Fourth Proportional to 346,822.80, 520,234.20 and 178,861.20

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Solution

The fourth proportional to 346,822.80, 520,234.20 and 178,861.20 is: 268,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,822.80 : 520,234.20 = 178,861.20 : x
  2. Step 2: Convert to fraction form
    346,822.80/520,234.20 = 178,861.20/x
  3. Step 3: Cross multiply
    346,822.80x = 520,234.20 × 178,861.20
  4. Step 4: Simplify right side
    346,822.80x = 93,049,713,293.04
  5. Step 5: Solve for x
    x = 93,049,713,293.04/346,822.80
  6. Step 6: Final answer
    x = 268,291.80

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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.