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Finding the Fourth Proportional to 385,543.20, 578,314.80 and 250,240.80

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Solution

The fourth proportional to 385,543.20, 578,314.80 and 250,240.80 is: 375,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,543.20 : 578,314.80 = 250,240.80 : x
  2. Step 2: Convert to fraction form
    385,543.20/578,314.80 = 250,240.80/x
  3. Step 3: Cross multiply
    385,543.20x = 578,314.80 × 250,240.80
  4. Step 4: Simplify right side
    385,543.20x = 144,717,958,203.84
  5. Step 5: Solve for x
    x = 144,717,958,203.84/385,543.20
  6. Step 6: Final answer
    x = 375,361.20

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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.