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Finding the Fourth Proportional to 310,112.80, 464,002.80 and 205,136.80

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Solution

The fourth proportional to 310,112.80, 464,002.80 and 205,136.80 is: 306,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,112.80 : 464,002.80 = 205,136.80 : x
  2. Step 2: Convert to fraction form
    310,112.80/464,002.80 = 205,136.80/x
  3. Step 3: Cross multiply
    310,112.80x = 464,002.80 × 205,136.80
  4. Step 4: Simplify right side
    310,112.80x = 95,184,049,583.04
  5. Step 5: Solve for x
    x = 95,184,049,583.04/310,112.80
  6. Step 6: Final answer
    x = 306,933.64

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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.