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Finding the Fourth Proportional to 319,870.17, 479,805.87 and 83,212.47

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Solution

The fourth proportional to 319,870.17, 479,805.87 and 83,212.47 is: 124,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,870.17 : 479,805.87 = 83,212.47 : x
  2. Step 2: Convert to fraction form
    319,870.17/479,805.87 = 83,212.47/x
  3. Step 3: Cross multiply
    319,870.17x = 479,805.87 × 83,212.47
  4. Step 4: Simplify right side
    319,870.17x = 39,925,831,563.20
  5. Step 5: Solve for x
    x = 39,925,831,563.20/319,870.17
  6. Step 6: Final answer
    x = 124,818.86

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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.