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Finding the Fourth Proportional to 542,013.46, 809,153.41 and 505,993.48

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Solution

The fourth proportional to 542,013.46, 809,153.41 and 505,993.48 is: 755,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,013.46 : 809,153.41 = 505,993.48 : x
  2. Step 2: Convert to fraction form
    542,013.46/809,153.41 = 505,993.48/x
  3. Step 3: Cross multiply
    542,013.46x = 809,153.41 × 505,993.48
  4. Step 4: Simplify right side
    542,013.46x = 409,426,349,779.77
  5. Step 5: Solve for x
    x = 409,426,349,779.77/542,013.46
  6. Step 6: Final answer
    x = 755,380.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.