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Finding the Fourth Proportional to 304,412.80, 455,744.40 and 186,314.80

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Solution

The fourth proportional to 304,412.80, 455,744.40 and 186,314.80 is: 278,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,412.80 : 455,744.40 = 186,314.80 : x
  2. Step 2: Convert to fraction form
    304,412.80/455,744.40 = 186,314.80/x
  3. Step 3: Cross multiply
    304,412.80x = 455,744.40 × 186,314.80
  4. Step 4: Simplify right side
    304,412.80x = 84,911,926,737.12
  5. Step 5: Solve for x
    x = 84,911,926,737.12/304,412.80
  6. Step 6: Final answer
    x = 278,936.78

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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.