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Finding the Fourth Proportional to 542,686.57, 748,952.30 and 301,047.05

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Solution

The fourth proportional to 542,686.57, 748,952.30 and 301,047.05 is: 415,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,686.57 : 748,952.30 = 301,047.05 : x
  2. Step 2: Convert to fraction form
    542,686.57/748,952.30 = 301,047.05/x
  3. Step 3: Cross multiply
    542,686.57x = 748,952.30 × 301,047.05
  4. Step 4: Simplify right side
    542,686.57x = 225,469,880,505.72
  5. Step 5: Solve for x
    x = 225,469,880,505.72/542,686.57
  6. Step 6: Final answer
    x = 415,469.80

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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.