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Finding the Fourth Proportional to 430,530.87, 646,195.34 and 217,448.42

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Solution

The fourth proportional to 430,530.87, 646,195.34 and 217,448.42 is: 326,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,530.87 : 646,195.34 = 217,448.42 : x
  2. Step 2: Convert to fraction form
    430,530.87/646,195.34 = 217,448.42/x
  3. Step 3: Cross multiply
    430,530.87x = 646,195.34 × 217,448.42
  4. Step 4: Simplify right side
    430,530.87x = 140,514,151,376.14
  5. Step 5: Solve for x
    x = 140,514,151,376.14/430,530.87
  6. Step 6: Final answer
    x = 326,374.16

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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.