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Finding the Fourth Proportional to 402,336.85, 603,505.28 and 215,712.85

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Solution

The fourth proportional to 402,336.85, 603,505.28 and 215,712.85 is: 323,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,336.85 : 603,505.28 = 215,712.85 : x
  2. Step 2: Convert to fraction form
    402,336.85/603,505.28 = 215,712.85/x
  3. Step 3: Cross multiply
    402,336.85x = 603,505.28 × 215,712.85
  4. Step 4: Simplify right side
    402,336.85x = 130,183,842,860.28
  5. Step 5: Solve for x
    x = 130,183,842,860.28/402,336.85
  6. Step 6: Final answer
    x = 323,569.28

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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.