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Finding the Fourth Proportional to 408,304.60, 611,800.80 and 302,016.40

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Solution

The fourth proportional to 408,304.60, 611,800.80 and 302,016.40 is: 452,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,304.60 : 611,800.80 = 302,016.40 : x
  2. Step 2: Convert to fraction form
    408,304.60/611,800.80 = 302,016.40/x
  3. Step 3: Cross multiply
    408,304.60x = 611,800.80 × 302,016.40
  4. Step 4: Simplify right side
    408,304.60x = 184,773,875,133.12
  5. Step 5: Solve for x
    x = 184,773,875,133.12/408,304.60
  6. Step 6: Final answer
    x = 452,539.29

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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.