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Finding the Fourth Proportional to 305,032.73, 420,970.35 and 169,109.30

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Solution

The fourth proportional to 305,032.73, 420,970.35 and 169,109.30 is: 233,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,032.73 : 420,970.35 = 169,109.30 : x
  2. Step 2: Convert to fraction form
    305,032.73/420,970.35 = 169,109.30/x
  3. Step 3: Cross multiply
    305,032.73x = 420,970.35 × 169,109.30
  4. Step 4: Simplify right side
    305,032.73x = 71,190,002,895.84
  5. Step 5: Solve for x
    x = 71,190,002,895.84/305,032.73
  6. Step 6: Final answer
    x = 233,384.80

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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.