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Finding the Fourth Proportional to 542,703.60, 748,923.84 and 300,986.64

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Solution

The fourth proportional to 542,703.60, 748,923.84 and 300,986.64 is: 415,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,703.60 : 748,923.84 = 300,986.64 : x
  2. Step 2: Convert to fraction form
    542,703.60/748,923.84 = 300,986.64/x
  3. Step 3: Cross multiply
    542,703.60x = 748,923.84 × 300,986.64
  4. Step 4: Simplify right side
    542,703.60x = 225,416,070,217.50
  5. Step 5: Solve for x
    x = 225,416,070,217.50/542,703.60
  6. Step 6: Final answer
    x = 415,357.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.