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Finding the Fourth Proportional to 223,898.32, 308,918.46 and 155,838.88

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Solution

The fourth proportional to 223,898.32, 308,918.46 and 155,838.88 is: 215,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,898.32 : 308,918.46 = 155,838.88 : x
  2. Step 2: Convert to fraction form
    223,898.32/308,918.46 = 155,838.88/x
  3. Step 3: Cross multiply
    223,898.32x = 308,918.46 × 155,838.88
  4. Step 4: Simplify right side
    223,898.32x = 48,141,506,817.72
  5. Step 5: Solve for x
    x = 48,141,506,817.72/223,898.32
  6. Step 6: Final answer
    x = 215,015.04

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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.