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Finding the Fourth Proportional to 311,421.69, 467,132.82 and 86,782.77

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Solution

The fourth proportional to 311,421.69, 467,132.82 and 86,782.77 is: 130,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,421.69 : 467,132.82 = 86,782.77 : x
  2. Step 2: Convert to fraction form
    311,421.69/467,132.82 = 86,782.77/x
  3. Step 3: Cross multiply
    311,421.69x = 467,132.82 × 86,782.77
  4. Step 4: Simplify right side
    311,421.69x = 40,539,080,077.51
  5. Step 5: Solve for x
    x = 40,539,080,077.51/311,421.69
  6. Step 6: Final answer
    x = 130,174.23

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1.5x scale

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.