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Finding the Fourth Proportional to 254,810.70, 382,507.65 and 149,688.90

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Solution

The fourth proportional to 254,810.70, 382,507.65 and 149,688.90 is: 224,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,810.70 : 382,507.65 = 149,688.90 : x
  2. Step 2: Convert to fraction form
    254,810.70/382,507.65 = 149,688.90/x
  3. Step 3: Cross multiply
    254,810.70x = 382,507.65 × 149,688.90
  4. Step 4: Simplify right side
    254,810.70x = 57,257,149,370.09
  5. Step 5: Solve for x
    x = 57,257,149,370.09/254,810.70
  6. Step 6: Final answer
    x = 224,704.65

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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.