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Finding the Fourth Proportional to 319,129.81, 478,696.25 and 94,494.48

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Solution

The fourth proportional to 319,129.81, 478,696.25 and 94,494.48 is: 141,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,129.81 : 478,696.25 = 94,494.48 : x
  2. Step 2: Convert to fraction form
    319,129.81/478,696.25 = 94,494.48/x
  3. Step 3: Cross multiply
    319,129.81x = 478,696.25 × 94,494.48
  4. Step 4: Simplify right side
    319,129.81x = 45,234,151,662.83
  5. Step 5: Solve for x
    x = 45,234,151,662.83/319,129.81
  6. Step 6: Final answer
    x = 141,742.17

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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.