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Finding the Fourth Proportional to 430,763.52, 646,145.08 and 115,212.22

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Solution

The fourth proportional to 430,763.52, 646,145.08 and 115,212.22 is: 172,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,763.52 : 646,145.08 = 115,212.22 : x
  2. Step 2: Convert to fraction form
    430,763.52/646,145.08 = 115,212.22/x
  3. Step 3: Cross multiply
    430,763.52x = 646,145.08 × 115,212.22
  4. Step 4: Simplify right side
    430,763.52x = 74,443,809,108.88
  5. Step 5: Solve for x
    x = 74,443,809,108.88/430,763.52
  6. Step 6: Final answer
    x = 172,818.28

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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.