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Finding the Fourth Proportional to 307,611.61, 461,489.19 and 105,209.29

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Solution

The fourth proportional to 307,611.61, 461,489.19 and 105,209.29 is: 157,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,611.61 : 461,489.19 = 105,209.29 : x
  2. Step 2: Convert to fraction form
    307,611.61/461,489.19 = 105,209.29/x
  3. Step 3: Cross multiply
    307,611.61x = 461,489.19 × 105,209.29
  4. Step 4: Simplify right side
    307,611.61x = 48,552,948,342.81
  5. Step 5: Solve for x
    x = 48,552,948,342.81/307,611.61
  6. Step 6: Final answer
    x = 157,838.48

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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.