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Finding the Fourth Proportional to 251,425, 346,966.50 and 150,855.40

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Solution

The fourth proportional to 251,425, 346,966.50 and 150,855.40 is: 208,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,425 : 346,966.50 = 150,855.40 : x
  2. Step 2: Convert to fraction form
    251,425/346,966.50 = 150,855.40/x
  3. Step 3: Cross multiply
    251,425x = 346,966.50 × 150,855.40
  4. Step 4: Simplify right side
    251,425x = 52,341,770,144.10
  5. Step 5: Solve for x
    x = 52,341,770,144.10/251,425
  6. Step 6: Final answer
    x = 208,180.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.