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Finding the Fourth Proportional to 402,141.30, 603,211.56 and 102,621.87

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Solution

The fourth proportional to 402,141.30, 603,211.56 and 102,621.87 is: 153,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,141.30 : 603,211.56 = 102,621.87 : x
  2. Step 2: Convert to fraction form
    402,141.30/603,211.56 = 102,621.87/x
  3. Step 3: Cross multiply
    402,141.30x = 603,211.56 × 102,621.87
  4. Step 4: Simplify right side
    402,141.30x = 61,902,698,292.82
  5. Step 5: Solve for x
    x = 61,902,698,292.82/402,141.30
  6. Step 6: Final answer
    x = 153,932.71

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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.