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Finding the Fourth Proportional to 413,967.80, 620,831.50 and 161,191.80

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Solution

The fourth proportional to 413,967.80, 620,831.50 and 161,191.80 is: 241,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,967.80 : 620,831.50 = 161,191.80 : x
  2. Step 2: Convert to fraction form
    413,967.80/620,831.50 = 161,191.80/x
  3. Step 3: Cross multiply
    413,967.80x = 620,831.50 × 161,191.80
  4. Step 4: Simplify right side
    413,967.80x = 100,072,946,981.70
  5. Step 5: Solve for x
    x = 100,072,946,981.70/413,967.80
  6. Step 6: Final answer
    x = 241,740.90

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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.