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Finding the Fourth Proportional to 542,846.79, 749,016.39 and 313,400.10

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Solution

The fourth proportional to 542,846.79, 749,016.39 and 313,400.10 is: 432,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,846.79 : 749,016.39 = 313,400.10 : x
  2. Step 2: Convert to fraction form
    542,846.79/749,016.39 = 313,400.10/x
  3. Step 3: Cross multiply
    542,846.79x = 749,016.39 × 313,400.10
  4. Step 4: Simplify right side
    542,846.79x = 234,741,811,527.64
  5. Step 5: Solve for x
    x = 234,741,811,527.64/542,846.79
  6. Step 6: Final answer
    x = 432,427.37

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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.