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Finding the Fourth Proportional to 458,434.80, 687,426.12 and 188,513.64

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Solution

The fourth proportional to 458,434.80, 687,426.12 and 188,513.64 is: 282,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,434.80 : 687,426.12 = 188,513.64 : x
  2. Step 2: Convert to fraction form
    458,434.80/687,426.12 = 188,513.64/x
  3. Step 3: Cross multiply
    458,434.80x = 687,426.12 × 188,513.64
  4. Step 4: Simplify right side
    458,434.80x = 129,589,200,112.28
  5. Step 5: Solve for x
    x = 129,589,200,112.28/458,434.80
  6. Step 6: Final answer
    x = 282,677.49

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1.5x scale

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.