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Finding the Fourth Proportional to 402,222.36, 603,325.71 and 162,329.88

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Solution

The fourth proportional to 402,222.36, 603,325.71 and 162,329.88 is: 243,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,222.36 : 603,325.71 = 162,329.88 : x
  2. Step 2: Convert to fraction form
    402,222.36/603,325.71 = 162,329.88/x
  3. Step 3: Cross multiply
    402,222.36x = 603,325.71 × 162,329.88
  4. Step 4: Simplify right side
    402,222.36x = 97,937,790,105.21
  5. Step 5: Solve for x
    x = 97,937,790,105.21/402,222.36
  6. Step 6: Final answer
    x = 243,491.66

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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.