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Finding the Fourth Proportional to 288,187.41, 432,271.89 and 130,415.86

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Solution

The fourth proportional to 288,187.41, 432,271.89 and 130,415.86 is: 195,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,187.41 : 432,271.89 = 130,415.86 : x
  2. Step 2: Convert to fraction form
    288,187.41/432,271.89 = 130,415.86/x
  3. Step 3: Cross multiply
    288,187.41x = 432,271.89 × 130,415.86
  4. Step 4: Simplify right side
    288,187.41x = 56,375,109,207.50
  5. Step 5: Solve for x
    x = 56,375,109,207.50/288,187.41
  6. Step 6: Final answer
    x = 195,619.61

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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.