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Finding the Fourth Proportional to 283,322.30, 423,999.30 and 194,748.80

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Solution

The fourth proportional to 283,322.30, 423,999.30 and 194,748.80 is: 291,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,322.30 : 423,999.30 = 194,748.80 : x
  2. Step 2: Convert to fraction form
    283,322.30/423,999.30 = 194,748.80/x
  3. Step 3: Cross multiply
    283,322.30x = 423,999.30 × 194,748.80
  4. Step 4: Simplify right side
    283,322.30x = 82,573,354,875.84
  5. Step 5: Solve for x
    x = 82,573,354,875.84/283,322.30
  6. Step 6: Final answer
    x = 291,446.72

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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.