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Finding the Fourth Proportional to 689,758.65, 951,949.81 and 417,818.57

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Solution

The fourth proportional to 689,758.65, 951,949.81 and 417,818.57 is: 576,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,758.65 : 951,949.81 = 417,818.57 : x
  2. Step 2: Convert to fraction form
    689,758.65/951,949.81 = 417,818.57/x
  3. Step 3: Cross multiply
    689,758.65x = 951,949.81 × 417,818.57
  4. Step 4: Simplify right side
    689,758.65x = 397,742,304,088.50
  5. Step 5: Solve for x
    x = 397,742,304,088.50/689,758.65
  6. Step 6: Final answer
    x = 576,639.82

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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.