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Finding the Fourth Proportional to 288,970.54, 433,529.62 and 111,429.88

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Solution

The fourth proportional to 288,970.54, 433,529.62 and 111,429.88 is: 167,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,970.54 : 433,529.62 = 111,429.88 : x
  2. Step 2: Convert to fraction form
    288,970.54/433,529.62 = 111,429.88/x
  3. Step 3: Cross multiply
    288,970.54x = 433,529.62 × 111,429.88
  4. Step 4: Simplify right side
    288,970.54x = 48,308,152,170.65
  5. Step 5: Solve for x
    x = 48,308,152,170.65/288,970.54
  6. Step 6: Final answer
    x = 167,173.28

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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.