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Finding the Fourth Proportional to 288,259.58, 432,155.64 and 119,905.86

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Solution

The fourth proportional to 288,259.58, 432,155.64 and 119,905.86 is: 179,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,259.58 : 432,155.64 = 119,905.86 : x
  2. Step 2: Convert to fraction form
    288,259.58/432,155.64 = 119,905.86/x
  3. Step 3: Cross multiply
    288,259.58x = 432,155.64 × 119,905.86
  4. Step 4: Simplify right side
    288,259.58x = 51,817,993,668.05
  5. Step 5: Solve for x
    x = 51,817,993,668.05/288,259.58
  6. Step 6: Final answer
    x = 179,761.57

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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.