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Finding the Fourth Proportional to 402,150.51, 603,225.25 and 102,631.09

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Solution

The fourth proportional to 402,150.51, 603,225.25 and 102,631.09 is: 153,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,150.51 : 603,225.25 = 102,631.09 : x
  2. Step 2: Convert to fraction form
    402,150.51/603,225.25 = 102,631.09/x
  3. Step 3: Cross multiply
    402,150.51x = 603,225.25 × 102,631.09
  4. Step 4: Simplify right side
    402,150.51x = 61,909,665,420.48
  5. Step 5: Solve for x
    x = 61,909,665,420.48/402,150.51
  6. Step 6: Final answer
    x = 153,946.51

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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.