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Finding the Fourth Proportional to 319,203.45, 478,766.16 and 82,526.31

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Solution

The fourth proportional to 319,203.45, 478,766.16 and 82,526.31 is: 123,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,203.45 : 478,766.16 = 82,526.31 : x
  2. Step 2: Convert to fraction form
    319,203.45/478,766.16 = 82,526.31/x
  3. Step 3: Cross multiply
    319,203.45x = 478,766.16 × 82,526.31
  4. Step 4: Simplify right side
    319,203.45x = 39,510,804,537.67
  5. Step 5: Solve for x
    x = 39,510,804,537.67/319,203.45
  6. Step 6: Final answer
    x = 123,779.38

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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.