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Finding the Fourth Proportional to 298,136.42, 447,207.30 and 84,904.16

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Solution

The fourth proportional to 298,136.42, 447,207.30 and 84,904.16 is: 127,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,136.42 : 447,207.30 = 84,904.16 : x
  2. Step 2: Convert to fraction form
    298,136.42/447,207.30 = 84,904.16/x
  3. Step 3: Cross multiply
    298,136.42x = 447,207.30 × 84,904.16
  4. Step 4: Simplify right side
    298,136.42x = 37,969,760,152.37
  5. Step 5: Solve for x
    x = 37,969,760,152.37/298,136.42
  6. Step 6: Final answer
    x = 127,357.00

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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.