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Finding the Fourth Proportional to 689,760.84, 951,952.83 and 417,820.75

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Solution

The fourth proportional to 689,760.84, 951,952.83 and 417,820.75 is: 576,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,760.84 : 951,952.83 = 417,820.75 : x
  2. Step 2: Convert to fraction form
    689,760.84/951,952.83 = 417,820.75/x
  3. Step 3: Cross multiply
    689,760.84x = 951,952.83 × 417,820.75
  4. Step 4: Simplify right side
    689,760.84x = 397,745,645,395.22
  5. Step 5: Solve for x
    x = 397,745,645,395.22/689,760.84
  6. Step 6: Final answer
    x = 576,642.83

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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.