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Finding the Fourth Proportional to 542,415.52, 813,758.78 and 382,803.09

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Solution

The fourth proportional to 542,415.52, 813,758.78 and 382,803.09 is: 574,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,415.52 : 813,758.78 = 382,803.09 : x
  2. Step 2: Convert to fraction form
    542,415.52/813,758.78 = 382,803.09/x
  3. Step 3: Cross multiply
    542,415.52x = 813,758.78 × 382,803.09
  4. Step 4: Simplify right side
    542,415.52x = 311,509,375,498.63
  5. Step 5: Solve for x
    x = 311,509,375,498.63/542,415.52
  6. Step 6: Final answer
    x = 574,300.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.