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Finding the Fourth Proportional to 342,224.33, 513,423.99 and 142,478.33

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Solution

The fourth proportional to 342,224.33, 513,423.99 and 142,478.33 is: 213,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,224.33 : 513,423.99 = 142,478.33 : x
  2. Step 2: Convert to fraction form
    342,224.33/513,423.99 = 142,478.33/x
  3. Step 3: Cross multiply
    342,224.33x = 513,423.99 × 142,478.33
  4. Step 4: Simplify right side
    342,224.33x = 73,151,792,677.14
  5. Step 5: Solve for x
    x = 73,151,792,677.14/342,224.33
  6. Step 6: Final answer
    x = 213,753.92

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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.