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Finding the Fourth Proportional to 342,817.80, 513,060.30 and 300,827.40

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Solution

The fourth proportional to 342,817.80, 513,060.30 and 300,827.40 is: 450,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,817.80 : 513,060.30 = 300,827.40 : x
  2. Step 2: Convert to fraction form
    342,817.80/513,060.30 = 300,827.40/x
  3. Step 3: Cross multiply
    342,817.80x = 513,060.30 × 300,827.40
  4. Step 4: Simplify right side
    342,817.80x = 154,342,596,092.22
  5. Step 5: Solve for x
    x = 154,342,596,092.22/342,817.80
  6. Step 6: Final answer
    x = 450,217.57

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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.