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Finding the Fourth Proportional to 309,593.40, 463,952.70 and 190,912.20

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Solution

The fourth proportional to 309,593.40, 463,952.70 and 190,912.20 is: 286,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,593.40 : 463,952.70 = 190,912.20 : x
  2. Step 2: Convert to fraction form
    309,593.40/463,952.70 = 190,912.20/x
  3. Step 3: Cross multiply
    309,593.40x = 463,952.70 × 190,912.20
  4. Step 4: Simplify right side
    309,593.40x = 88,574,230,652.94
  5. Step 5: Solve for x
    x = 88,574,230,652.94/309,593.40
  6. Step 6: Final answer
    x = 286,098.58

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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.