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Finding the Fourth Proportional to 319,680.36, 478,993.41 and 286,719.66

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Solution

The fourth proportional to 319,680.36, 478,993.41 and 286,719.66 is: 429,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,680.36 : 478,993.41 = 286,719.66 : x
  2. Step 2: Convert to fraction form
    319,680.36/478,993.41 = 286,719.66/x
  3. Step 3: Cross multiply
    319,680.36x = 478,993.41 × 286,719.66
  4. Step 4: Simplify right side
    319,680.36x = 137,336,827,657.44
  5. Step 5: Solve for x
    x = 137,336,827,657.44/319,680.36
  6. Step 6: Final answer
    x = 429,606.71

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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.