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Finding the Fourth Proportional to 496,005.12, 684,458 and 269,648.64

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Solution

The fourth proportional to 496,005.12, 684,458 and 269,648.64 is: 372,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,005.12 : 684,458 = 269,648.64 : x
  2. Step 2: Convert to fraction form
    496,005.12/684,458 = 269,648.64/x
  3. Step 3: Cross multiply
    496,005.12x = 684,458 × 269,648.64
  4. Step 4: Simplify right side
    496,005.12x = 184,563,168,837.12
  5. Step 5: Solve for x
    x = 184,563,168,837.12/496,005.12
  6. Step 6: Final answer
    x = 372,099.32

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1.5x scale

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.