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Finding the Fourth Proportional to 402,149.63, 603,223.94 and 102,630.22

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Solution

The fourth proportional to 402,149.63, 603,223.94 and 102,630.22 is: 153,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,149.63 : 603,223.94 = 102,630.22 : x
  2. Step 2: Convert to fraction form
    402,149.63/603,223.94 = 102,630.22/x
  3. Step 3: Cross multiply
    402,149.63x = 603,223.94 × 102,630.22
  4. Step 4: Simplify right side
    402,149.63x = 61,909,003,906.83
  5. Step 5: Solve for x
    x = 61,909,003,906.83/402,149.63
  6. Step 6: Final answer
    x = 153,945.20

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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.