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Finding the Fourth Proportional to 254,811.70, 382,509.15 and 149,689.90

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Solution

The fourth proportional to 254,811.70, 382,509.15 and 149,689.90 is: 224,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,811.70 : 382,509.15 = 149,689.90 : x
  2. Step 2: Convert to fraction form
    254,811.70/382,509.15 = 149,689.90/x
  3. Step 3: Cross multiply
    254,811.70x = 382,509.15 × 149,689.90
  4. Step 4: Simplify right side
    254,811.70x = 57,257,756,412.59
  5. Step 5: Solve for x
    x = 57,257,756,412.59/254,811.70
  6. Step 6: Final answer
    x = 224,706.15

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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.