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Finding the Fourth Proportional to 458,914.20, 688,104 and 178,103.40

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Solution

The fourth proportional to 458,914.20, 688,104 and 178,103.40 is: 267,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,914.20 : 688,104 = 178,103.40 : x
  2. Step 2: Convert to fraction form
    458,914.20/688,104 = 178,103.40/x
  3. Step 3: Cross multiply
    458,914.20x = 688,104 × 178,103.40
  4. Step 4: Simplify right side
    458,914.20x = 122,553,661,953.60
  5. Step 5: Solve for x
    x = 122,553,661,953.60/458,914.20
  6. Step 6: Final answer
    x = 267,051.36

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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.