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Finding the Fourth Proportional to 402,150.13, 603,224.69 and 102,630.72

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Solution

The fourth proportional to 402,150.13, 603,224.69 and 102,630.72 is: 153,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,150.13 : 603,224.69 = 102,630.72 : x
  2. Step 2: Convert to fraction form
    402,150.13/603,224.69 = 102,630.72/x
  3. Step 3: Cross multiply
    402,150.13x = 603,224.69 × 102,630.72
  4. Step 4: Simplify right side
    402,150.13x = 61,909,381,673.66
  5. Step 5: Solve for x
    x = 61,909,381,673.66/402,150.13
  6. Step 6: Final answer
    x = 153,945.94

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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.