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Finding the Fourth Proportional to 280,859.80, 421,289.70 and 202,127.80

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Solution

The fourth proportional to 280,859.80, 421,289.70 and 202,127.80 is: 303,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,859.80 : 421,289.70 = 202,127.80 : x
  2. Step 2: Convert to fraction form
    280,859.80/421,289.70 = 202,127.80/x
  3. Step 3: Cross multiply
    280,859.80x = 421,289.70 × 202,127.80
  4. Step 4: Simplify right side
    280,859.80x = 85,154,360,223.66
  5. Step 5: Solve for x
    x = 85,154,360,223.66/280,859.80
  6. Step 6: Final answer
    x = 303,191.70

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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.