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Finding the Fourth Proportional to 430,846.74, 646,269.60 and 115,295.43

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Solution

The fourth proportional to 430,846.74, 646,269.60 and 115,295.43 is: 172,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,846.74 : 646,269.60 = 115,295.43 : x
  2. Step 2: Convert to fraction form
    430,846.74/646,269.60 = 115,295.43/x
  3. Step 3: Cross multiply
    430,846.74x = 646,269.60 × 115,295.43
  4. Step 4: Simplify right side
    430,846.74x = 74,511,931,427.93
  5. Step 5: Solve for x
    x = 74,511,931,427.93/430,846.74
  6. Step 6: Final answer
    x = 172,943.01

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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.