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Finding the Fourth Proportional to 382,710.80, 572,705.40 and 333,333.20

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Solution

The fourth proportional to 382,710.80, 572,705.40 and 333,333.20 is: 498,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,710.80 : 572,705.40 = 333,333.20 : x
  2. Step 2: Convert to fraction form
    382,710.80/572,705.40 = 333,333.20/x
  3. Step 3: Cross multiply
    382,710.80x = 572,705.40 × 333,333.20
  4. Step 4: Simplify right side
    382,710.80x = 190,901,723,639.28
  5. Step 5: Solve for x
    x = 190,901,723,639.28/382,710.80
  6. Step 6: Final answer
    x = 498,814.57

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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.