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Finding the Fourth Proportional to 310,209.60, 428,355.38 and 300,178.56

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Solution

The fourth proportional to 310,209.60, 428,355.38 and 300,178.56 is: 414,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,209.60 : 428,355.38 = 300,178.56 : x
  2. Step 2: Convert to fraction form
    310,209.60/428,355.38 = 300,178.56/x
  3. Step 3: Cross multiply
    310,209.60x = 428,355.38 × 300,178.56
  4. Step 4: Simplify right side
    310,209.60x = 128,583,101,136.65
  5. Step 5: Solve for x
    x = 128,583,101,136.65/310,209.60
  6. Step 6: Final answer
    x = 414,503.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.