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Finding the Fourth Proportional to 206,989.20, 310,483.80 and 144,003.60

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Solution

The fourth proportional to 206,989.20, 310,483.80 and 144,003.60 is: 216,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,989.20 : 310,483.80 = 144,003.60 : x
  2. Step 2: Convert to fraction form
    206,989.20/310,483.80 = 144,003.60/x
  3. Step 3: Cross multiply
    206,989.20x = 310,483.80 × 144,003.60
  4. Step 4: Simplify right side
    206,989.20x = 44,710,784,941.68
  5. Step 5: Solve for x
    x = 44,710,784,941.68/206,989.20
  6. Step 6: Final answer
    x = 216,005.40

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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.