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Finding the Fourth Proportional to 546,470.40, 818,822.40 and 309,107.20

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Solution

The fourth proportional to 546,470.40, 818,822.40 and 309,107.20 is: 463,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,470.40 : 818,822.40 = 309,107.20 : x
  2. Step 2: Convert to fraction form
    546,470.40/818,822.40 = 309,107.20/x
  3. Step 3: Cross multiply
    546,470.40x = 818,822.40 × 309,107.20
  4. Step 4: Simplify right side
    546,470.40x = 253,103,899,361.28
  5. Step 5: Solve for x
    x = 253,103,899,361.28/546,470.40
  6. Step 6: Final answer
    x = 463,161.22

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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.