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Finding the Fourth Proportional to 382,708.80, 572,702.40 and 333,331.20

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Solution

The fourth proportional to 382,708.80, 572,702.40 and 333,331.20 is: 498,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,708.80 : 572,702.40 = 333,331.20 : x
  2. Step 2: Convert to fraction form
    382,708.80/572,702.40 = 333,331.20/x
  3. Step 3: Cross multiply
    382,708.80x = 572,702.40 × 333,331.20
  4. Step 4: Simplify right side
    382,708.80x = 190,899,578,234.88
  5. Step 5: Solve for x
    x = 190,899,578,234.88/382,708.80
  6. Step 6: Final answer
    x = 498,811.57

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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.