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Finding the Fourth Proportional to 283,662.72, 391,457.28 and 156,343.20

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Solution

The fourth proportional to 283,662.72, 391,457.28 and 156,343.20 is: 215,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,662.72 : 391,457.28 = 156,343.20 : x
  2. Step 2: Convert to fraction form
    283,662.72/391,457.28 = 156,343.20/x
  3. Step 3: Cross multiply
    283,662.72x = 391,457.28 × 156,343.20
  4. Step 4: Simplify right side
    283,662.72x = 61,201,683,818.50
  5. Step 5: Solve for x
    x = 61,201,683,818.50/283,662.72
  6. Step 6: Final answer
    x = 215,755.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.