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Finding the Fourth Proportional to 348,057.80, 520,920.30 and 306,067.40

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Solution

The fourth proportional to 348,057.80, 520,920.30 and 306,067.40 is: 458,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,057.80 : 520,920.30 = 306,067.40 : x
  2. Step 2: Convert to fraction form
    348,057.80/520,920.30 = 306,067.40/x
  3. Step 3: Cross multiply
    348,057.80x = 520,920.30 × 306,067.40
  4. Step 4: Simplify right side
    348,057.80x = 159,436,721,828.22
  5. Step 5: Solve for x
    x = 159,436,721,828.22/348,057.80
  6. Step 6: Final answer
    x = 458,075.42

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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.