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Finding the Fourth Proportional to 298,904.30, 448,611.60 and 121,538.60

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Solution

The fourth proportional to 298,904.30, 448,611.60 and 121,538.60 is: 182,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,904.30 : 448,611.60 = 121,538.60 : x
  2. Step 2: Convert to fraction form
    298,904.30/448,611.60 = 121,538.60/x
  3. Step 3: Cross multiply
    298,904.30x = 448,611.60 × 121,538.60
  4. Step 4: Simplify right side
    298,904.30x = 54,523,625,807.76
  5. Step 5: Solve for x
    x = 54,523,625,807.76/298,904.30
  6. Step 6: Final answer
    x = 182,411.65

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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.