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Finding the Fourth Proportional to 254,643.40, 382,022.70 and 149,408.20

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Solution

The fourth proportional to 254,643.40, 382,022.70 and 149,408.20 is: 224,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,643.40 : 382,022.70 = 149,408.20 : x
  2. Step 2: Convert to fraction form
    254,643.40/382,022.70 = 149,408.20/x
  3. Step 3: Cross multiply
    254,643.40x = 382,022.70 × 149,408.20
  4. Step 4: Simplify right side
    254,643.40x = 57,077,323,966.14
  5. Step 5: Solve for x
    x = 57,077,323,966.14/254,643.40
  6. Step 6: Final answer
    x = 224,146.10

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1.5x scale

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.