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Finding the Fourth Proportional to 305,567.94, 421,688.25 and 169,610.64

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Solution

The fourth proportional to 305,567.94, 421,688.25 and 169,610.64 is: 234,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,567.94 : 421,688.25 = 169,610.64 : x
  2. Step 2: Convert to fraction form
    305,567.94/421,688.25 = 169,610.64/x
  3. Step 3: Cross multiply
    305,567.94x = 421,688.25 × 169,610.64
  4. Step 4: Simplify right side
    305,567.94x = 71,522,813,962.98
  5. Step 5: Solve for x
    x = 71,522,813,962.98/305,567.94
  6. Step 6: Final answer
    x = 234,065.18

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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.