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Finding the Fourth Proportional to 402,435.24, 603,650.70 and 102,915.33

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Solution

The fourth proportional to 402,435.24, 603,650.70 and 102,915.33 is: 154,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,435.24 : 603,650.70 = 102,915.33 : x
  2. Step 2: Convert to fraction form
    402,435.24/603,650.70 = 102,915.33/x
  3. Step 3: Cross multiply
    402,435.24x = 603,650.70 × 102,915.33
  4. Step 4: Simplify right side
    402,435.24x = 62,124,910,995.23
  5. Step 5: Solve for x
    x = 62,124,910,995.23/402,435.24
  6. Step 6: Final answer
    x = 154,372.44

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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.