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Finding the Fourth Proportional to 254,543.40, 381,815.10 and 238,991.40

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Solution

The fourth proportional to 254,543.40, 381,815.10 and 238,991.40 is: 358,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,543.40 : 381,815.10 = 238,991.40 : x
  2. Step 2: Convert to fraction form
    254,543.40/381,815.10 = 238,991.40/x
  3. Step 3: Cross multiply
    254,543.40x = 381,815.10 × 238,991.40
  4. Step 4: Simplify right side
    254,543.40x = 91,250,525,290.14
  5. Step 5: Solve for x
    x = 91,250,525,290.14/254,543.40
  6. Step 6: Final answer
    x = 358,487.10

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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.