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Finding the Fourth Proportional to 458,653.76, 688,063.29 and 188,734.22

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Solution

The fourth proportional to 458,653.76, 688,063.29 and 188,734.22 is: 283,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,653.76 : 688,063.29 = 188,734.22 : x
  2. Step 2: Convert to fraction form
    458,653.76/688,063.29 = 188,734.22/x
  3. Step 3: Cross multiply
    458,653.76x = 688,063.29 × 188,734.22
  4. Step 4: Simplify right side
    458,653.76x = 129,861,088,348.78
  5. Step 5: Solve for x
    x = 129,861,088,348.78/458,653.76
  6. Step 6: Final answer
    x = 283,135.34

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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.