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Finding the Fourth Proportional to 319,873.16, 479,810.38 and 83,215.46

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Solution

The fourth proportional to 319,873.16, 479,810.38 and 83,215.46 is: 124,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,873.16 : 479,810.38 = 83,215.46 : x
  2. Step 2: Convert to fraction form
    319,873.16/479,810.38 = 83,215.46/x
  3. Step 3: Cross multiply
    319,873.16x = 479,810.38 × 83,215.46
  4. Step 4: Simplify right side
    319,873.16x = 39,927,641,484.47
  5. Step 5: Solve for x
    x = 39,927,641,484.47/319,873.16
  6. Step 6: Final answer
    x = 124,823.36

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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.