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Finding the Fourth Proportional to 409,402.72, 613,841.76 and 282,688

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Solution

The fourth proportional to 409,402.72, 613,841.76 and 282,688 is: 423,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,402.72 : 613,841.76 = 282,688 : x
  2. Step 2: Convert to fraction form
    409,402.72/613,841.76 = 282,688/x
  3. Step 3: Cross multiply
    409,402.72x = 613,841.76 × 282,688
  4. Step 4: Simplify right side
    409,402.72x = 173,525,699,450.88
  5. Step 5: Solve for x
    x = 173,525,699,450.88/409,402.72
  6. Step 6: Final answer
    x = 423,850.87

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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.