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Finding the Fourth Proportional to 428,998.32, 592,033.50 and 259,199.64

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Solution

The fourth proportional to 428,998.32, 592,033.50 and 259,199.64 is: 357,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,998.32 : 592,033.50 = 259,199.64 : x
  2. Step 2: Convert to fraction form
    428,998.32/592,033.50 = 259,199.64/x
  3. Step 3: Cross multiply
    428,998.32x = 592,033.50 × 259,199.64
  4. Step 4: Simplify right side
    428,998.32x = 153,454,870,067.94
  5. Step 5: Solve for x
    x = 153,454,870,067.94/428,998.32
  6. Step 6: Final answer
    x = 357,705.06

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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.