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Finding the Fourth Proportional to 293,138.70, 439,708.05 and 151,421.10

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Solution

The fourth proportional to 293,138.70, 439,708.05 and 151,421.10 is: 227,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,138.70 : 439,708.05 = 151,421.10 : x
  2. Step 2: Convert to fraction form
    293,138.70/439,708.05 = 151,421.10/x
  3. Step 3: Cross multiply
    293,138.70x = 439,708.05 × 151,421.10
  4. Step 4: Simplify right side
    293,138.70x = 66,581,076,609.86
  5. Step 5: Solve for x
    x = 66,581,076,609.86/293,138.70
  6. Step 6: Final answer
    x = 227,131.65

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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.