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Finding the Fourth Proportional to 254,909.20, 382,655.40 and 149,787.40

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Solution

The fourth proportional to 254,909.20, 382,655.40 and 149,787.40 is: 224,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,909.20 : 382,655.40 = 149,787.40 : x
  2. Step 2: Convert to fraction form
    254,909.20/382,655.40 = 149,787.40/x
  3. Step 3: Cross multiply
    254,909.20x = 382,655.40 × 149,787.40
  4. Step 4: Simplify right side
    254,909.20x = 57,316,957,461.96
  5. Step 5: Solve for x
    x = 57,316,957,461.96/254,909.20
  6. Step 6: Final answer
    x = 224,852.45

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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.