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Finding the Fourth Proportional to 341,953.80, 512,882.10 and 105,320.40

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Solution

The fourth proportional to 341,953.80, 512,882.10 and 105,320.40 is: 157,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,953.80 : 512,882.10 = 105,320.40 : x
  2. Step 2: Convert to fraction form
    341,953.80/512,882.10 = 105,320.40/x
  3. Step 3: Cross multiply
    341,953.80x = 512,882.10 × 105,320.40
  4. Step 4: Simplify right side
    341,953.80x = 54,016,947,924.84
  5. Step 5: Solve for x
    x = 54,016,947,924.84/341,953.80
  6. Step 6: Final answer
    x = 157,965.63

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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.