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Finding the Fourth Proportional to 342,124.20, 513,186.30 and 202,156.20

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Solution

The fourth proportional to 342,124.20, 513,186.30 and 202,156.20 is: 303,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,124.20 : 513,186.30 = 202,156.20 : x
  2. Step 2: Convert to fraction form
    342,124.20/513,186.30 = 202,156.20/x
  3. Step 3: Cross multiply
    342,124.20x = 513,186.30 × 202,156.20
  4. Step 4: Simplify right side
    342,124.20x = 103,743,792,300.06
  5. Step 5: Solve for x
    x = 103,743,792,300.06/342,124.20
  6. Step 6: Final answer
    x = 303,234.30

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1.5x scale

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.