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Finding the Fourth Proportional to 371,894.34, 513,424.94 and 284,515.04

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Solution

The fourth proportional to 371,894.34, 513,424.94 and 284,515.04 is: 392,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,894.34 : 513,424.94 = 284,515.04 : x
  2. Step 2: Convert to fraction form
    371,894.34/513,424.94 = 284,515.04/x
  3. Step 3: Cross multiply
    371,894.34x = 513,424.94 × 284,515.04
  4. Step 4: Simplify right side
    371,894.34x = 146,077,117,202.09
  5. Step 5: Solve for x
    x = 146,077,117,202.09/371,894.34
  6. Step 6: Final answer
    x = 392,791.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.