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Finding the Fourth Proportional to 329,894.08, 493,984.56 and 282,810.40

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Solution

The fourth proportional to 329,894.08, 493,984.56 and 282,810.40 is: 423,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,894.08 : 493,984.56 = 282,810.40 : x
  2. Step 2: Convert to fraction form
    329,894.08/493,984.56 = 282,810.40/x
  3. Step 3: Cross multiply
    329,894.08x = 493,984.56 × 282,810.40
  4. Step 4: Simplify right side
    329,894.08x = 139,703,971,007.42
  5. Step 5: Solve for x
    x = 139,703,971,007.42/329,894.08
  6. Step 6: Final answer
    x = 423,481.29

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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.