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Finding the Fourth Proportional to 223,985.60, 335,200.80 and 205,323.20

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Solution

The fourth proportional to 223,985.60, 335,200.80 and 205,323.20 is: 307,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,985.60 : 335,200.80 = 205,323.20 : x
  2. Step 2: Convert to fraction form
    223,985.60/335,200.80 = 205,323.20/x
  3. Step 3: Cross multiply
    223,985.60x = 335,200.80 × 205,323.20
  4. Step 4: Simplify right side
    223,985.60x = 68,824,500,898.56
  5. Step 5: Solve for x
    x = 68,824,500,898.56/223,985.60
  6. Step 6: Final answer
    x = 307,271.99

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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.