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Finding the Fourth Proportional to 342,827.20, 514,532.40 and 153,578.80

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Solution

The fourth proportional to 342,827.20, 514,532.40 and 153,578.80 is: 230,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,827.20 : 514,532.40 = 153,578.80 : x
  2. Step 2: Convert to fraction form
    342,827.20/514,532.40 = 153,578.80/x
  3. Step 3: Cross multiply
    342,827.20x = 514,532.40 × 153,578.80
  4. Step 4: Simplify right side
    342,827.20x = 79,021,268,553.12
  5. Step 5: Solve for x
    x = 79,021,268,553.12/342,827.20
  6. Step 6: Final answer
    x = 230,498.83

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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.