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Finding the Fourth Proportional to 341,905.40, 512,858.10 and 164,758.40

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Solution

The fourth proportional to 341,905.40, 512,858.10 and 164,758.40 is: 247,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,905.40 : 512,858.10 = 164,758.40 : x
  2. Step 2: Convert to fraction form
    341,905.40/512,858.10 = 164,758.40/x
  3. Step 3: Cross multiply
    341,905.40x = 512,858.10 × 164,758.40
  4. Step 4: Simplify right side
    341,905.40x = 84,497,679,983.04
  5. Step 5: Solve for x
    x = 84,497,679,983.04/341,905.40
  6. Step 6: Final answer
    x = 247,137.60

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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.