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Finding the Fourth Proportional to 430,928.82, 646,516.53 and 146,682

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Solution

The fourth proportional to 430,928.82, 646,516.53 and 146,682 is: 220,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,928.82 : 646,516.53 = 146,682 : x
  2. Step 2: Convert to fraction form
    430,928.82/646,516.53 = 146,682/x
  3. Step 3: Cross multiply
    430,928.82x = 646,516.53 × 146,682
  4. Step 4: Simplify right side
    430,928.82x = 94,832,337,653.46
  5. Step 5: Solve for x
    x = 94,832,337,653.46/430,928.82
  6. Step 6: Final answer
    x = 220,064.97

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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.