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Finding the Fourth Proportional to 407,499.16, 611,486.70 and 170,823.64

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Solution

The fourth proportional to 407,499.16, 611,486.70 and 170,823.64 is: 256,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,499.16 : 611,486.70 = 170,823.64 : x
  2. Step 2: Convert to fraction form
    407,499.16/611,486.70 = 170,823.64/x
  3. Step 3: Cross multiply
    407,499.16x = 611,486.70 × 170,823.64
  4. Step 4: Simplify right side
    407,499.16x = 104,456,383,905.59
  5. Step 5: Solve for x
    x = 104,456,383,905.59/407,499.16
  6. Step 6: Final answer
    x = 256,335.21

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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.