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Finding the Fourth Proportional to 402,142.40, 603,213.21 and 102,622.98

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Solution

The fourth proportional to 402,142.40, 603,213.21 and 102,622.98 is: 153,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,142.40 : 603,213.21 = 102,622.98 : x
  2. Step 2: Convert to fraction form
    402,142.40/603,213.21 = 102,622.98/x
  3. Step 3: Cross multiply
    402,142.40x = 603,213.21 × 102,622.98
  4. Step 4: Simplify right side
    402,142.40x = 61,903,537,185.57
  5. Step 5: Solve for x
    x = 61,903,537,185.57/402,142.40
  6. Step 6: Final answer
    x = 153,934.37

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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.