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Finding the Fourth Proportional to 382,712.80, 572,708.40 and 333,335.20

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Solution

The fourth proportional to 382,712.80, 572,708.40 and 333,335.20 is: 498,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,712.80 : 572,708.40 = 333,335.20 : x
  2. Step 2: Convert to fraction form
    382,712.80/572,708.40 = 333,335.20/x
  3. Step 3: Cross multiply
    382,712.80x = 572,708.40 × 333,335.20
  4. Step 4: Simplify right side
    382,712.80x = 190,903,869,055.68
  5. Step 5: Solve for x
    x = 190,903,869,055.68/382,712.80
  6. Step 6: Final answer
    x = 498,817.57

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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.