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Finding the Fourth Proportional to 319,175.58, 478,779.77 and 82,520.31

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Solution

The fourth proportional to 319,175.58, 478,779.77 and 82,520.31 is: 123,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,175.58 : 478,779.77 = 82,520.31 : x
  2. Step 2: Convert to fraction form
    319,175.58/478,779.77 = 82,520.31/x
  3. Step 3: Cross multiply
    319,175.58x = 478,779.77 × 82,520.31
  4. Step 4: Simplify right side
    319,175.58x = 39,509,055,042.13
  5. Step 5: Solve for x
    x = 39,509,055,042.13/319,175.58
  6. Step 6: Final answer
    x = 123,784.71

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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.