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Finding the Fourth Proportional to 345,981.96, 477,030.90 and 284,513.34

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Solution

The fourth proportional to 345,981.96, 477,030.90 and 284,513.34 is: 392,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,981.96 : 477,030.90 = 284,513.34 : x
  2. Step 2: Convert to fraction form
    345,981.96/477,030.90 = 284,513.34/x
  3. Step 3: Cross multiply
    345,981.96x = 477,030.90 × 284,513.34
  4. Step 4: Simplify right side
    345,981.96x = 135,721,651,072.47
  5. Step 5: Solve for x
    x = 135,721,651,072.47/345,981.96
  6. Step 6: Final answer
    x = 392,279.56

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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.