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Finding the Fourth Proportional to 430,407.96, 646,016.43 and 225,389.77

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Solution

The fourth proportional to 430,407.96, 646,016.43 and 225,389.77 is: 338,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,407.96 : 646,016.43 = 225,389.77 : x
  2. Step 2: Convert to fraction form
    430,407.96/646,016.43 = 225,389.77/x
  3. Step 3: Cross multiply
    430,407.96x = 646,016.43 × 225,389.77
  4. Step 4: Simplify right side
    430,407.96x = 145,605,494,573.92
  5. Step 5: Solve for x
    x = 145,605,494,573.92/430,407.96
  6. Step 6: Final answer
    x = 338,296.47

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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.