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Finding the Fourth Proportional to 418,688.56, 628,299.24 and 152,423.20

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Solution

The fourth proportional to 418,688.56, 628,299.24 and 152,423.20 is: 228,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,688.56 : 628,299.24 = 152,423.20 : x
  2. Step 2: Convert to fraction form
    418,688.56/628,299.24 = 152,423.20/x
  3. Step 3: Cross multiply
    418,688.56x = 628,299.24 × 152,423.20
  4. Step 4: Simplify right side
    418,688.56x = 95,767,380,718.37
  5. Step 5: Solve for x
    x = 95,767,380,718.37/418,688.56
  6. Step 6: Final answer
    x = 228,731.78

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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.