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Finding the Fourth Proportional to 442,838.54, 611,012.87 and 328,381.90

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Solution

The fourth proportional to 442,838.54, 611,012.87 and 328,381.90 is: 453,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,838.54 : 611,012.87 = 328,381.90 : x
  2. Step 2: Convert to fraction form
    442,838.54/611,012.87 = 328,381.90/x
  3. Step 3: Cross multiply
    442,838.54x = 611,012.87 × 328,381.90
  4. Step 4: Simplify right side
    442,838.54x = 200,645,565,237.04
  5. Step 5: Solve for x
    x = 200,645,565,237.04/442,838.54
  6. Step 6: Final answer
    x = 453,089.66

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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.