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Finding the Fourth Proportional to 458,563.45, 688,009.20 and 192,405.55

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Solution

The fourth proportional to 458,563.45, 688,009.20 and 192,405.55 is: 288,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,563.45 : 688,009.20 = 192,405.55 : x
  2. Step 2: Convert to fraction form
    458,563.45/688,009.20 = 192,405.55/x
  3. Step 3: Cross multiply
    458,563.45x = 688,009.20 × 192,405.55
  4. Step 4: Simplify right side
    458,563.45x = 132,376,788,531.06
  5. Step 5: Solve for x
    x = 132,376,788,531.06/458,563.45
  6. Step 6: Final answer
    x = 288,677.15

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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.