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Finding the Fourth Proportional to 375,376.50, 518,019.84 and 205,611.30

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Solution

The fourth proportional to 375,376.50, 518,019.84 and 205,611.30 is: 283,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,376.50 : 518,019.84 = 205,611.30 : x
  2. Step 2: Convert to fraction form
    375,376.50/518,019.84 = 205,611.30/x
  3. Step 3: Cross multiply
    375,376.50x = 518,019.84 × 205,611.30
  4. Step 4: Simplify right side
    375,376.50x = 106,510,732,728.19
  5. Step 5: Solve for x
    x = 106,510,732,728.19/375,376.50
  6. Step 6: Final answer
    x = 283,743.74

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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.