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Finding the Fourth Proportional to 402,520.89, 555,966 and 293,452.50

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Solution

The fourth proportional to 402,520.89, 555,966 and 293,452.50 is: 405,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,520.89 : 555,966 = 293,452.50 : x
  2. Step 2: Convert to fraction form
    402,520.89/555,966 = 293,452.50/x
  3. Step 3: Cross multiply
    402,520.89x = 555,966 × 293,452.50
  4. Step 4: Simplify right side
    402,520.89x = 163,149,612,615
  5. Step 5: Solve for x
    x = 163,149,612,615/402,520.89
  6. Step 6: Final answer
    x = 405,319.62

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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.