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Finding the Fourth Proportional to 402,141.40, 603,211.71 and 102,621.98

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Solution

The fourth proportional to 402,141.40, 603,211.71 and 102,621.98 is: 153,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,141.40 : 603,211.71 = 102,621.98 : x
  2. Step 2: Convert to fraction form
    402,141.40/603,211.71 = 102,621.98/x
  3. Step 3: Cross multiply
    402,141.40x = 603,211.71 × 102,621.98
  4. Step 4: Simplify right side
    402,141.40x = 61,902,777,961.93
  5. Step 5: Solve for x
    x = 61,902,777,961.93/402,141.40
  6. Step 6: Final answer
    x = 153,932.87

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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.