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Finding the Fourth Proportional to 305,040, 420,955.20 and 185,808

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Solution

The fourth proportional to 305,040, 420,955.20 and 185,808 is: 256,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,040 : 420,955.20 = 185,808 : x
  2. Step 2: Convert to fraction form
    305,040/420,955.20 = 185,808/x
  3. Step 3: Cross multiply
    305,040x = 420,955.20 × 185,808
  4. Step 4: Simplify right side
    305,040x = 78,216,843,801.60
  5. Step 5: Solve for x
    x = 78,216,843,801.60/305,040
  6. Step 6: Final answer
    x = 256,415.04

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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.