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Finding the Fourth Proportional to 542,991.93, 749,437.88 and 313,586.56

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Solution

The fourth proportional to 542,991.93, 749,437.88 and 313,586.56 is: 432,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,991.93 : 749,437.88 = 313,586.56 : x
  2. Step 2: Convert to fraction form
    542,991.93/749,437.88 = 313,586.56/x
  3. Step 3: Cross multiply
    542,991.93x = 749,437.88 × 313,586.56
  4. Step 4: Simplify right side
    542,991.93x = 235,013,646,722.89
  5. Step 5: Solve for x
    x = 235,013,646,722.89/542,991.93
  6. Step 6: Final answer
    x = 432,812.41

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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.