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Finding the Fourth Proportional to 292,214.10, 438,321.15 and 280,404.30

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Solution

The fourth proportional to 292,214.10, 438,321.15 and 280,404.30 is: 420,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214.10 : 438,321.15 = 280,404.30 : x
  2. Step 2: Convert to fraction form
    292,214.10/438,321.15 = 280,404.30/x
  3. Step 3: Cross multiply
    292,214.10x = 438,321.15 × 280,404.30
  4. Step 4: Simplify right side
    292,214.10x = 122,907,135,240.95
  5. Step 5: Solve for x
    x = 122,907,135,240.95/292,214.10
  6. Step 6: Final answer
    x = 420,606.45

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1.5x scale

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.