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Finding the Fourth Proportional to 292,215.10, 438,322.65 and 280,405.30

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Solution

The fourth proportional to 292,215.10, 438,322.65 and 280,405.30 is: 420,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,215.10 : 438,322.65 = 280,405.30 : x
  2. Step 2: Convert to fraction form
    292,215.10/438,322.65 = 280,405.30/x
  3. Step 3: Cross multiply
    292,215.10x = 438,322.65 × 280,405.30
  4. Step 4: Simplify right side
    292,215.10x = 122,907,994,170.05
  5. Step 5: Solve for x
    x = 122,907,994,170.05/292,215.10
  6. Step 6: Final answer
    x = 420,607.95

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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.