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Finding the Fourth Proportional to 428,997.32, 592,032.12 and 259,198.64

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Solution

The fourth proportional to 428,997.32, 592,032.12 and 259,198.64 is: 357,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,997.32 : 592,032.12 = 259,198.64 : x
  2. Step 2: Convert to fraction form
    428,997.32/592,032.12 = 259,198.64/x
  3. Step 3: Cross multiply
    428,997.32x = 592,032.12 × 259,198.64
  4. Step 4: Simplify right side
    428,997.32x = 153,453,920,340.32
  5. Step 5: Solve for x
    x = 153,453,920,340.32/428,997.32
  6. Step 6: Final answer
    x = 357,703.68

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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.