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Finding the Fourth Proportional to 430,886.34, 646,110.78 and 323,285.94

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Solution

The fourth proportional to 430,886.34, 646,110.78 and 323,285.94 is: 484,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,886.34 : 646,110.78 = 323,285.94 : x
  2. Step 2: Convert to fraction form
    430,886.34/646,110.78 = 323,285.94/x
  3. Step 3: Cross multiply
    430,886.34x = 646,110.78 × 323,285.94
  4. Step 4: Simplify right side
    430,886.34x = 208,878,530,856.43
  5. Step 5: Solve for x
    x = 208,878,530,856.43/430,886.34
  6. Step 6: Final answer
    x = 484,764.80

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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.