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Finding the Fourth Proportional to 309,212.20, 463,818.30 and 309,212.20

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Solution

The fourth proportional to 309,212.20, 463,818.30 and 309,212.20 is: 463,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,212.20 : 463,818.30 = 309,212.20 : x
  2. Step 2: Convert to fraction form
    309,212.20/463,818.30 = 309,212.20/x
  3. Step 3: Cross multiply
    309,212.20x = 463,818.30 × 309,212.20
  4. Step 4: Simplify right side
    309,212.20x = 143,418,276,943.26
  5. Step 5: Solve for x
    x = 143,418,276,943.26/309,212.20
  6. Step 6: Final answer
    x = 463,818.30

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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.