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Finding the Fourth Proportional to 402,149.76, 603,224.12 and 102,630.34

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Solution

The fourth proportional to 402,149.76, 603,224.12 and 102,630.34 is: 153,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,149.76 : 603,224.12 = 102,630.34 : x
  2. Step 2: Convert to fraction form
    402,149.76/603,224.12 = 102,630.34/x
  3. Step 3: Cross multiply
    402,149.76x = 603,224.12 × 102,630.34
  4. Step 4: Simplify right side
    402,149.76x = 61,909,097,542.41
  5. Step 5: Solve for x
    x = 61,909,097,542.41/402,149.76
  6. Step 6: Final answer
    x = 153,945.38

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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.