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Finding the Fourth Proportional to 546,067.80, 819,101.70 and 309,871.80

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Solution

The fourth proportional to 546,067.80, 819,101.70 and 309,871.80 is: 464,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,067.80 : 819,101.70 = 309,871.80 : x
  2. Step 2: Convert to fraction form
    546,067.80/819,101.70 = 309,871.80/x
  3. Step 3: Cross multiply
    546,067.80x = 819,101.70 × 309,871.80
  4. Step 4: Simplify right side
    546,067.80x = 253,816,518,162.06
  5. Step 5: Solve for x
    x = 253,816,518,162.06/546,067.80
  6. Step 6: Final answer
    x = 464,807.70

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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.